Metric SYZ evolving textbook prototype

Survey roots first, followed by every nonroot reference layer from deepest to shallowest. Within a layer, collected references precede citing chapters outside explicit mutual-citation groups. Uncollected bibliographies remain unchecked.

Depth order, chapter positions and citation exceptions · Collected expansion bibliographies

Chapter	Work	Depth	Source status
1	Survey on the metric SYZ conjecture and non-archimedean geometry Yang Li Original paper · arXiv:2204.11363v1	0	Structured source objects tagged and independently verified; source edition and mathematical dependency gaps remain separate.
2	The monomial-divisor mirror map Paul S. Aspinwall, Brian R. Greene, and David R. Morrison	2	Bibliography collected; full source and statement tagging pending
3	Dual polyhedra and mirror symmetry for Calabi–Yau hypersurfaces in toric varieties Victor V. Batyrev	2	Bibliography collected; full source and statement tagging pending
4	Topological methods Anders Bjorner	2	Bibliography collected; full source and statement tagging pending
5	The geometry of toric varieties Vladimir I. Danilov	2	Bibliography collected; full source and statement tagging pending
6	Introduction to Toric Varieties W. Fulton	2	Bibliography collected; full source and statement tagging pending
7	Discriminants, Resultants, and Multidimensional Determinants I. Gelfand, M. Kapranov, and A. Zelevinsky	2	Bibliography collected; full source and statement tagging pending
8	Cell decomposition of polytopes by bending Jacob E. Goodman and Janos Pach	2	Bibliography collected; full source and statement tagging pending
9	Convex Polytopes Branko Grunbaum	2	Bibliography collected; full source and statement tagging pending
10	Kahler structures on toric varieties Victor Guillemin	2	Bibliography collected; full source and statement tagging pending
11	Amoebas over non-archimedean fields Mikhail Kapranov	2	Bibliography collected; full source and statement tagging pending
12	Lectures at Rutgers University Maxim Kontsevich	2	Bibliography collected; full source and statement tagging pending
13	Subdivisions and triangulations of polytopes Carl W. Lee	2	Bibliography collected; full source and statement tagging pending
14	Amoebas of algebraic varieties G. Mikhalkin	2	Bibliography collected; full source and statement tagging pending
15	Lectures at RIMS Kyoto David R. Morrison	2	Bibliography collected; full source and statement tagging pending
16	Convex Bodies and Algebraic Geometry. An Introduction to the Theory of Toric Varieties Tadao Oda	2	Bibliography collected; full source and statement tagging pending
17	Lagrangian torus fibrations of toric Calabi-Yau manifolds I Wei-Dong Ruan	2	Bibliography collected; full source and statement tagging pending
18	Lagrangian torus fibrations and mirror symmetry of Calabi-Yau hypersurfaces in toric varieties Wei-Dong Ruan	2	Bibliography collected; full source and statement tagging pending
19	Decomposability of polytopes and polyhedra Zeev Smilansky	2	Bibliography collected; full source and statement tagging pending
20	Three-dimensional geometry and topology William P. Thurston	2	Bibliography collected; full source and statement tagging pending
21	Torus fibrations of Calabi-Yau hypersurfaces in toric varieties Ilia Zharkov	2	Bibliography collected; full source and statement tagging pending
22	The radiance obstruction and parallel forms on affine manifolds William Goldman and Morris W. Hirsch	2	Bibliography collected; full source and statement tagging pending
23	Affine manifolds and mirror symmetry Mark Gross and Bernd Siebert	2	Bibliography collected; full source and statement tagging pending
24	C^\alpha-compactness for manifolds with Ricci curvature and injectivity radius bounded below Michael T. Anderson and Jeff Cheeger	2	Bibliography collected; full source and statement tagging pending
25	Convergence and rigidity of manifolds under Ricci curvature bounds M.T.Anderson	2	Bibliography collected; full source and statement tagging pending
26	On a construction of coordinates at infinity on manifolds with fast curvature decay and maximal volume growth Shigetoshi Bando, Atsushi Kasue, and Hiraku Nakajima	2	Bibliography collected; full source and statement tagging pending
27	Lower bounds on Ricci curvature and the almost rigidity of warped products Jeff Cheeger and Tobias H. Colding	2	Bibliography collected; full source and statement tagging pending
28	On the structure of spaces with Ricci curvature bounded below. I Jeff Cheeger and Tobias H. Colding	2	Bibliography collected; full source and statement tagging pending
29	Gravitational instantons with faster than quadratic curvature decay (II) Gao Chen and Xiuxiong Chen	2	Bibliography collected; full source and statement tagging pending
30	Gravitational instantons with faster than quadratic curvature decay (III) Gao Chen and Xiuxiong Chen	2	Bibliography collected; full source and statement tagging pending
31	On the singularities of spaces with bounded Ricci curvature Jeff Cheeger, Tobias H. Colding, and Gang Tian	2	Bibliography collected; full source and statement tagging pending
32	Volume estimates for Kahler-Einstein metrics and rigidity of complex structures Xiuxiong Chen and Simon K. Donaldson	2	Bibliography collected; full source and statement tagging pending
33	Nilpotent structures and invariant metrics on collapsed manifolds J.Cheeger, K.Fukaya, M.Gromov	2	Bibliography collected; full source and statement tagging pending
34	Collapsing Riemannian manifolds while keeping their curvature bound I J.Cheeger, M.Gromov	2	Bibliography collected; full source and statement tagging pending
35	Collapsing Riemannian Manifolds while keeping their curvature bounded II J.Cheeger, M.Gromov	2	Bibliography collected; full source and statement tagging pending
36	The splitting theorem for manifolds of nonnegative Ricci curvature Jeff Cheeger and Detlef Gromoll	2	Bibliography collected; full source and statement tagging pending
37	Asymptotically conical Calabi-Yau manifolds, I Ronan J. Conlon and Hans-Joachim Hein	2	Bibliography collected; full source and statement tagging pending
38	Asymptotically conical Calabi-Yau metrics on quasi-projective varieties Ronan J. Conlon and Hans-Joachim Hein	2	Bibliography collected; full source and statement tagging pending
39	Integral bounds on curvature elliptic estimates and rectifiability of singular sets Jeff Cheeger	2	Bibliography collected; full source and statement tagging pending
40	Lower bounds on Ricci curvature and quantitative behavior of singular sets Jeff Cheeger and Aaron Naber	2	Bibliography collected; full source and statement tagging pending
41	Anti-self-duality of curvature and degeneration of metrics with special holonomy J.Cheeger, G.Tian	2	Bibliography collected; full source and statement tagging pending
42	Curvature and injectivity radius estimates for Einstein 4-manifolds J.Cheeger, G.Tian	2	Bibliography collected; full source and statement tagging pending
43	Differential equations on Riemannian manifolds and their geometric applications Shiu-Yuen Cheng and Shing-Tung Yau	2	Bibliography collected; full source and statement tagging pending
44	Two-forms on four-manifolds and elliptic equations Simon K. Donaldson	2	Bibliography collected; full source and statement tagging pending
45	Calabi-Yau metrics on Kummer surfaces as a model gluing problem Simon K. Donaldson	2	Bibliography collected; full source and statement tagging pending
46	The e-invariant and the spectrum of the Laplacian for compact nilmanifolds covered by Heisenberg groups Christopher Deninger and Wilhelm Singhof	2	Bibliography collected; full source and statement tagging pending
47	Complete non-compact G2-manifolds from asymptotically conical Calabi-Yau 3-folds Lorenzo Foscolo, Mark Haskins, and Johannes Nordstrom	2	Bibliography collected; full source and statement tagging pending
48	Self-dual conformal structures on l C P^2 Andreas Floer	2	Bibliography collected; full source and statement tagging pending
49	The space of hyperkahler metrics on a 4-manifold with boundary Joel Fine, Jason D. Lotay, and Michael Singer	2	Bibliography collected; full source and statement tagging pending
50	Collapsing Riemannian manifolds to ones of lower dimensions Kenji Fukaya	2	Bibliography collected; full source and statement tagging pending
51	A boundary of the set of the Riemannian manifolds with bounded curvatures and diameters Kenji Fukaya	2	Bibliography collected; full source and statement tagging pending
52	The fundamental groups of almost non-negatively curved manifolds Kenji Fukaya and Takao Yamaguchi	2	Bibliography collected; full source and statement tagging pending
53	Principles of algebraic geometry Phillip Griffiths and Joseph Harris	2	Bibliography collected; full source and statement tagging pending
54	Stringy cosmic strings and noncompact Calabi-Yau manifolds Brian R. Greene, Alfred Shapere, Cumrun Vafa, and Shing-Tung Yau	2	Bibliography collected; full source and statement tagging pending
55	The spectrum of the Laplacian on Riemannian Heisenberg manifolds Carolyn S. Gordon and Edward N. Wilson	2	Bibliography collected; full source and statement tagging pending
56	Gravitational instantons from rational elliptic surfaces Hans-Joachim Hein	2	Bibliography collected; full source and statement tagging pending
57	Type II degeneration of Ricci-flat metrics on K3 surfaces Hans-Joachim Hein, Song Sun, Jeff Viaclovsky, and Ruobing Zhang	2	Bibliography collected; full source and statement tagging pending
58	Massive string theories from M-theory and F-theory Chris M. Hull	2	Bibliography collected; full source and statement tagging pending
59	On asymptotics of complete Ricci-flat Kahler metrics on open manifolds Bert Koehler and Marco Kuhnel	2	Bibliography collected; full source and statement tagging pending
60	Ricci-flat Kahler metrics on affine algebraic manifolds and degenerations of Kahler-Einstein K3 surfaces Ryoichi Kobayashi	2	Bibliography collected; full source and statement tagging pending
61	Twisted connected sums and special Riemannian holonomy Alexei Kovalev	2	Bibliography collected; full source and statement tagging pending
62	The construction of ALE spaces as hyper-Kahler quotients Peter B. Kronheimer	2	Bibliography collected; full source and statement tagging pending
63	Gluing theorems for complete anti-self-dual spaces Alexei Kovalev and Michael Singer	2	Bibliography collected; full source and statement tagging pending
64	Special functions and their applications N. N. Lebedev	2	Bibliography collected; full source and statement tagging pending
65	Complete Ricci-flat Kahler metrics on C n need not be flat C. LeBrun	2	Bibliography collected; full source and statement tagging pending
66	The collapsing geometry of almost Ricci-flat 4-manifolds John Lott	2	Bibliography collected; full source and statement tagging pending
67	A Kummer-type construction of self-dual 4-manifolds Claude LeBrun and Michael Singer	2	Bibliography collected; full source and statement tagging pending
68	Symmetric Green's functions on complete manifolds Peter Li and Luen-Fai Tam	2	Bibliography collected; full source and statement tagging pending
69	Rigidity for multi-Taub-NUT metrics Vincent Minerbe	2	Bibliography collected; full source and statement tagging pending
70	Empty-space generalization of the Schwarzschild metric Erza T. Newman, Louis A. Tamburino, and Theodore W.J. Unti	2	Bibliography collected; full source and statement tagging pending
71	Topology and \varepsilon-regularity theorems on collapsed manifolds with Ricci curvature bounds Aaron Naber and Ruobing Zhang	2	Bibliography collected; full source and statement tagging pending
72	Summing up Dirichlet instantons H. Ooguri and C. Vafa	2	Bibliography collected; full source and statement tagging pending
73	Collapsed manifolds with bounded sectional curvature and applications Xiaochun Rong	2	Bibliography collected; full source and statement tagging pending
74	Non-minimal scalar-flat Kahler surfaces and parabolic stability Yann Rollin and Michael Singer	2	Bibliography collected; full source and statement tagging pending
75	The geometries of 3-manifolds Peter Scott	2	Bibliography collected; full source and statement tagging pending
76	A comprehensive introduction to differential geometry. Vol. I Michael Spivak	2	Bibliography collected; full source and statement tagging pending
77	Projective embedding of log riemann surfaces and k-stability Jingzhou Sun and Song Sun	2	Bibliography collected; full source and statement tagging pending
78	Empty space-times admitting a three parameter group of motions Abraham H. Taub	2	Bibliography collected; full source and statement tagging pending
79	On Calabi's conjecture for complex surfaces with positive first Chern class Gang Tian	2	Bibliography collected; full source and statement tagging pending
80	Complete Kahler manifolds with zero Ricci curvature. I Gang Tian and Shing-Tung Yau	2	Bibliography collected; full source and statement tagging pending
81	Second order families of special Lagrangian 3-folds R.L. Bryant	2	Bibliography collected; full source and statement tagging pending
82	Calibrated fibrations E.Goldstein	2	Bibliography collected; full source and statement tagging pending
83	Calibrated fibrations on complete manifolds via torus action E. Goldstein	2	Bibliography collected; full source and statement tagging pending
84	Special Lagrangian submanifolds and algebraic complexity one torus actions E. Goldstein	2	Bibliography collected; full source and statement tagging pending
85	Special Lagrangian fibrations I: Topology M. Gross	2	Bibliography collected; full source and statement tagging pending
86	Special lagrangian fibrations II-Geometry M.Gross	2	Bibliography collected; full source and statement tagging pending
87	Mirror symmetry via 3-tori for a class of Calabi–Yau threefolds M. Gross and P.M.H. Wilson	2	Bibliography collected; full source and statement tagging pending
88	On counting special Lagrangian homology 3-spheres D.D. Joyce	2	Bibliography collected; full source and statement tagging pending
89	Special Lagrangian m-folds in \mathbb C^m with symmetries D.D. Joyce	2	Bibliography collected; full source and statement tagging pending
90	Constructing special Lagrangian m-folds in \mathbb C^m by evolving quadrics D.D. Joyce	2	Bibliography collected; full source and statement tagging pending
91	Evolution equations for special Lagrangian 3-folds in \mathbb C^3 D.D. Joyce	2	Bibliography collected; full source and statement tagging pending
92	Deformation of calibrated submanifolds R.C.Mclean	2	Bibliography collected; full source and statement tagging pending
93	The geometry underlying mirror symmetry D.R. Morrison	2	Bibliography collected; full source and statement tagging pending
94	Compactifications of moduli spaces inspired by mirror symmetry D.R. Morrison	2	Bibliography collected; full source and statement tagging pending
95	Lectures on nonlinear evolution equations R. Racke	2	Bibliography collected; full source and statement tagging pending
96	Lagrangian tori fibration of toric Calabi–Yau manifold III: symplectic topological SYZ mirror construction for general quintics W.-D. Ruan	2	Bibliography collected; full source and statement tagging pending
97	Lagrangian torus fibration of quintic Calabi–Yau hypersurfaces II: technical results on gradient flow construction W.-D. Ruan	2	Bibliography collected; full source and statement tagging pending
98	Variations of the mixed Hodge structure of affine hypersurfaces in algebraic tori V. Batyrev	2	Bibliography collected; full source and statement tagging pending
99	The real Monge-Ampere equation and affine flat structures S.-Y. Cheng and S.-T. Yau	2	Bibliography collected; full source and statement tagging pending
100	Gravitational instantons G. W. Gibbons and S. W. Hawking	2	Bibliography collected; full source and statement tagging pending
101	Affine manifolds, log structures, and mirror symmetry M. Gross and B. Siebert	2	Bibliography collected; full source and statement tagging pending
102	Elliptic partial differential equations of second order D. Gilbarg; N. S. Trudinger	2	Bibliography collected; full source and statement tagging pending
103	Gravitational instantons S. W. Hawking	2	Bibliography collected; full source and statement tagging pending
104	The moduli space of special Lagrangian submanifolds N. Hitchin	2	Bibliography collected; full source and statement tagging pending
105	Mirror symmetry without corrections N. C. Leung	2	Bibliography collected; full source and statement tagging pending
106	From special Lagrangian to Hermitian-Yang-Mills via Fourier-Mukai transform N. C. Leung, S. T. Yau, and E. Zaslow	2	Bibliography collected; full source and statement tagging pending
107	Constructions of Calabi-Yau metrics and of special Lagrangian submanifolds D. Matessi	2	Bibliography collected; full source and statement tagging pending
108	Hamiltonian constructions of Kahler-Einstein metrics and Kahler metrics of constant scalar curvature H. Pedersen and Y. S. Poon	2	Bibliography collected; full source and statement tagging pending
109	Projective capacity H. Alexander	2	Bibliography collected; full source and statement tagging pending
110	Comparison of two capacities in Cⁿ H. Alexander; B. A. Taylor	2	Bibliography collected; full source and statement tagging pending
111	A new capacity for plurisubharmonic functions E. Bedford; B. A. Taylor	2	Bibliography collected; full source and statement tagging pending
112	Plurisubharmonic functions with logarithmic singularities E. Bedford; B. A. Taylor	2	Bibliography collected; full source and statement tagging pending
113	Estimates for the complex Monge-Ampère operator Z. Błocki	2	Bibliography collected; full source and statement tagging pending
114	Local estimates for plurisubharmonic functions A. Brudnyi	2	Bibliography collected; full source and statement tagging pending
115	Pluricomplex energy U. Cegrell	2	Bibliography collected; full source and statement tagging pending
116	Approximation of plurisubharmonic functions and the general definition of the complex Monge-Ampère operator U. Cegrell	2	Bibliography collected; full source and statement tagging pending
117	Complex Analytic Sets E. M. Chirca (as printed)	2	Bibliography collected; full source and statement tagging pending
118	On the size of lemniscates of polynomials in one and several variables A. Cuyt; K. Driver; D. S. Lubinsky	2	Bibliography collected; full source and statement tagging pending
119	Mesures de Monge-Ampère et caractérisation des variétés algébriques affines J. P. Demailly	2	Bibliography collected; full source and statement tagging pending
120	Mesures de Monge-Ampère et mesures pluriharmoniques J. P. Demailly	2	Bibliography collected; full source and statement tagging pending
121	Potential theory in several complex variables J. P. Demailly	2	Bibliography collected; full source and statement tagging pending
122	Monge-Ampère operators, Lelong numbers and intersection theory J. P. Demailly	2	Bibliography collected; full source and statement tagging pending
123	Note on pull-back and Lelong number of currents C. Favre	2	Bibliography collected; full source and statement tagging pending
124	Dynamique des applications rationnelles des espaces multiprojectifs C. Favre; V. Guedj	2	Bibliography collected; full source and statement tagging pending
125	An Introduction to Complex Analysis in Several Variables L. Hörmander	2	Bibliography collected; full source and statement tagging pending
126	Notions of Convexity L. Hörmander	2	Bibliography collected; full source and statement tagging pending
127	Densité des fonctions plurisousharmoniques C. O. Kiselman	2	Bibliography collected; full source and statement tagging pending
128	Attenuating the singularities of plurisubharmonic functions C. O. Kiselman	2	Bibliography collected; full source and statement tagging pending
129	Ensembles de sous-niveau et images inverses des fonctions plurisousharmoniques C. O. Kiselman	2	Bibliography collected; full source and statement tagging pending
130	Pluripotential Theory M. Klimek	2	Bibliography collected; full source and statement tagging pending
131	Fonctions Plurisousharmoniques et Formes Différentielles Positives P. Lelong	2	Bibliography collected; full source and statement tagging pending
132	Characterization of quasi-analytic functions of several variables by means of rational approximation W. Plesniak	2	Bibliography collected; full source and statement tagging pending
133	Function Theory in the Unit Ball of Cⁿ W. Rudin	2	Bibliography collected; full source and statement tagging pending
134	An estimate for polynomials on analytic sets A. Sadullaev	2	Bibliography collected; full source and statement tagging pending
135	Extremal plurisubharmonic functions in Cᴺ J. Siciak	2	Bibliography collected; full source and statement tagging pending
136	Extremal plurisubharmonic functions and capacities in Cᴺ J. Siciak	2	Bibliography collected; full source and statement tagging pending
137	Sous-ensembles analytiques d’ordre fini ou infini dans Cⁿ H. Skoda	2	Bibliography collected; full source and statement tagging pending
138	Analyticity of sets associated to Lelong numbers and the extension of closed positive currents Y. T. Siu	2	Bibliography collected; full source and statement tagging pending
139	Potential Theory in Modern Function Theory M. Tsuji	2	Bibliography collected; full source and statement tagging pending
140	Extremal plurisubharmonic functions, orthogonal polynomials and Bernstein-Walsh theorem for analytic functions of several complex variables V. P. Zahariuta	2	Bibliography collected; full source and statement tagging pending
141	Fonction de Green pluricomplexe à pôle à l’infini sur un espace de Stein parabolique A. Zeriahi	2	Bibliography collected; full source and statement tagging pending
142	Pluricomplex Green functions and the Dirichlet problem for the complex Monge-Ampère operator A. Zeriahi	2	Bibliography collected; full source and statement tagging pending
143	A criterion of algebraicity for Lelong classes and analytic sets A. Zeriahi	2	Bibliography collected; full source and statement tagging pending
144	Ricci curvature bounds and Einstein metrics on compact manifolds M.T.Anderson	2	Bibliography collected; full source and statement tagging pending
145	The L^2 structure of moduli spaces of Einstein metrics on 4-manifolds M.T.Anderson	2	Bibliography collected; full source and statement tagging pending
146	Degeneration of Einstein metrics and metrics with special holonomy J.Cheeger	2	Bibliography collected; full source and statement tagging pending
147	On global action-angle coordinates J.Duistermaat	2	Bibliography collected; full source and statement tagging pending
148	Hausdorff convergence of Riemannian manifolds and its application K.Fukaya	2	Bibliography collected; full source and statement tagging pending
149	Multivalued Morse theory, asymptortic analysis and mirror aymmetry K.Fukaya	2	Bibliography collected; full source and statement tagging pending
150	Lipschitz converges of Riemannian manifolds R.E.Green, H.Wu	2	Bibliography collected; full source and statement tagging pending
151	Metric structures for Riemannian and non-Riemannian spaces M.Gromov	2	Bibliography collected; full source and statement tagging pending
152	A construction of new families of minmal lagrangian submanifolds via torus action E.Goldstein	2	Bibliography collected; full source and statement tagging pending
153	Examples of special lagrangian fibrations M.Gross	2	Bibliography collected; full source and statement tagging pending
154	Compact manifolds with special holonomy D.D.Joyce	2	Bibliography collected; full source and statement tagging pending
155	Lectures on Calabi-Yau and special Lagrangian geometry D.D.Joyce	2	Bibliography collected; full source and statement tagging pending
156	Kahler-Einstein metrics on Kummer threefold and special lagrangian tori P.Lu	2	Bibliography collected; full source and statement tagging pending
157	Riemannian Geometry P.Petersen	2	Bibliography collected; full source and statement tagging pending
158	On the convergence and collapsing of Kahler metrics W.D.Ruan	2	Bibliography collected; full source and statement tagging pending
159	Generalized special Lagrangian torus fibration for Calabi-Yau hypersurfaces in toric varieties. I W.D.Ruan	2	Bibliography collected; full source and statement tagging pending
160	Generalized special Lagrangian torus fibrations for Calabi-Yau hypersurfaces in toric varieties. II W.D.Ruan	2	Bibliography collected; full source and statement tagging pending
161	Generalized special Lagrangian fibration for Calabi-Yau hypersurfaces in toric varieties III: The smooth fibres W.D.Ruan	2	Bibliography collected; full source and statement tagging pending
162	H-minimal Lagrangian fibrations in Kahler manifolds and minimal Lagrangian vanishing tori in Kahler-Einstein manifolds W.D.Ruan	2	Bibliography collected; full source and statement tagging pending
163	Convergence of Calabi-Yau manifolds W.D.Ruan, Y.G.Zhang	2	Bibliography collected; full source and statement tagging pending
164	Deformations of special lagrangian submanifolds S.Salur	2	Bibliography collected; full source and statement tagging pending
165	Einstein manifolds with zero Ricci curvature S.T.Yau	2	Bibliography collected; full source and statement tagging pending
166	On regularization of plurisubharmonic functions on manifolds Błocki, Zbigniew; Kołodziej, Sławomir Original paper	1	Original PDF; statement tagging unavailable
167	The Calabi-Yau theorem Błocki, Zbigniew Original paper	1	Original PDF; edition correspondence pending
168	Tropical and non-Archimedean limits of degenerating families of volume forms Boucksom, Sébastien; Jonsson, Mattias Original paper · arXiv:1605.05277v1	1	Structured source objects tagged and independently verified; source edition and mathematical dependency gaps remain separate.
169	Solution to a non-Archimedean Monge-Amp\`ere equation Boucksom, S.; Favre, C.; Jonsson, M. Original paper · arXiv:1201.0188v1	1	Structured source objects tagged and independently verified; source edition and mathematical dependency gaps remain separate.
170	The Non-Archimedean Monge-Ampere Equation Boucksom, Sebastien; Favre, Charles; Jonsson, Mattias Original paper · arXiv:1502.05724v2	1	Structured source objects tagged and independently verified; source edition and mathematical dependency gaps remain separate.
171	Singular semipositive metrics in non-Archimedean geometry Boucksom, S.; Favre, C.; Jonsson, M. Original paper · arXiv:1201.0187v1	1	Structured source objects tagged and independently verified; source edition and mathematical dependency gaps remain separate.
172	A localization property of viscosity solutions to the Monge-Ampère equation and their strict convexity Caffarelli, L. A	1	Source unresolved
173	Interior W^{2,p} estimates for solutions of the Monge-Ampère equation Caffarelli, Luis A	1	Source unresolved
174	A note on the degeneracy of convex solutions to Monge Ampère equation Caffarelli, Luis A	1	Source unresolved
175	On the regularity of solutions to Monge-Ampère equations on Hessian manifolds Caffarelli, Luis A.; Viaclovsky, Jeff A	1	Source unresolved
176	Heights and measures on analytic spaces. A survey of recent results, and some remarks Chambert-Loir, Antoine Original paper · arXiv:1001.2517v1	1	Structured source objects tagged and independently verified; source edition and mathematical dependency gaps remain separate.
177	Formes diff\'erentielles r\'eelles et courants sur les espaces de Berkovich Chambert-Loir, Antoine; Ducros, Antoine Original paper · arXiv:1204.6277v1	1	Structured source objects tagged and independently verified; source edition and mathematical dependency gaps remain separate.
178	Regularity of Einstein Manifolds and the Codimension 4 Conjecture Cheeger, Jeff; Naber, Aaron Original paper · arXiv:1406.6534v1	1	Structured source objects tagged and independently verified; source edition and mathematical dependency gaps remain separate.
179	The Strominger-Yau-Zaslow conjecture and its impact Chan, Kwokwai Original paper · arXiv:1408.6062v1	1	Structured source objects tagged and independently verified; source edition and mathematical dependency gaps remain separate.
180	On the constant scalar curvature K\"ahler metrics, apriori estimates Chen, Xiuxiong; Cheng, Jingrui Original paper · arXiv:1712.06697v1	1	Structured source objects tagged and independently verified; source edition and mathematical dependency gaps remain separate.
181	Complete Calabi-Yau metrics in the complement of two divisors Collins, Tristan C.; Li, Yang Original paper · arXiv:2203.10656v1	1	Structured source objects tagged and independently verified; source edition and mathematical dependency gaps remain separate.
182	An extension theorem for K\"ahler currents Collins, Tristan C.; Tosatti, Valentino Original paper · arXiv:1311.4485v1	1	Structured source objects tagged and independently verified; source edition and mathematical dependency gaps remain separate.
183	Extension property of semipositive invertible sheaves over a non-archimedean field Chen, Huayi; Moriwaki, Atsushi Original paper · arXiv:1510.06921v1	1	Structured source objects tagged and independently verified; source edition and mathematical dependency gaps remain separate.
184	Extension of plurisubharmonic functions with growth control Coman, Dan; Guedj, Vincent; Zeriahi, Ahmed Original paper · arXiv:1007.0262v1	1	Structured source objects tagged and independently verified; source edition and mathematical dependency gaps remain separate.
185	Degenerate complex Monge-Amp\`ere equations over compact K\"ahler manifolds Demailly, Jean-Pierre; Pali, Nefton Original paper · arXiv:0710.5109v1	1	Structured source objects tagged and independently verified; source edition and mathematical dependency gaps remain separate.
186	Frontiere orientate di misura minima De Giorgi, Ennio	1	Source unresolved
187	Kahler geometry on toric manifolds, and some other manifolds with large symmetry Donaldson, S. K. Original paper · arXiv:0803.0985v1	1	Structured source objects tagged and independently verified; source edition and mathematical dependency gaps remain separate.
188	Gromov-Hausdorff limits of Kahler manifolds and algebraic geometry Donaldson, Simon; Sun, Song Original paper · arXiv:1206.2609v1	1	Structured source objects tagged and independently verified; source edition and mathematical dependency gaps remain separate.
189	Singular Kahler-Einstein metrics Eyssidieux, Philippe; Guedj, Vincent; Zeriahi, Ahmed Original paper · arXiv:math/0603431v1	1	Structured source objects tagged and independently verified; source edition and mathematical dependency gaps remain separate.
190	A priori $L^{\infty}$-estimates for degenerate complex Monge-Amp\`ere equations Eyssidieux, P.; Guedj, V.; Zeriahi, A. Original paper · arXiv:0712.3743v1	1	Structured source objects tagged and independently verified; source edition and mathematical dependency gaps remain separate.
191	Non-Archimedean metric extension for semipositive line bundles Fang, Yanbo Original paper · arXiv:1904.03696v1	1	Structured source objects tagged and independently verified; source edition and mathematical dependency gaps remain separate.
192	ALF gravitational instantons and collapsing Ricci-flat metrics on the K3 surface Foscolo, Lorenzo Original paper · arXiv:1603.06315v1	1	Structured source objects tagged and independently verified; source edition and mathematical dependency gaps remain separate.
193	Arithmetic geometry of toric varieties. Metrics, measures and heights Gil, José Ignacio Burgos; Philippon, Patrice; Sombra, Martín Original paper · arXiv:1105.5584v1	1	Structured source objects tagged and independently verified; source edition and mathematical dependency gaps remain separate.
194	Mirror Symmetry and the Strominger-Yau-Zaslow conjecture Gross, Mark Original paper · arXiv:1212.4220v1	1	Structured source objects tagged and independently verified; source edition and mathematical dependency gaps remain separate.
195	Topological Mirror Symmetry Gross, Mark Original paper · arXiv:math/9909015v1	1	Structured source objects tagged and independently verified; source edition and mathematical dependency gaps remain separate.
196	Collapsing of abelian fibred Calabi-Yau manifolds Gross, Mark; Tosatti, Valentino; Zhang, Yuguang Original paper · arXiv:1108.0967v1	1	Structured source objects tagged and independently verified; source edition and mathematical dependency gaps remain separate.
197	Large Complex Structure Limits of K3 Surfaces Gross, Mark; Wilson, P. M. H. Original paper · arXiv:math/0008018v1	1	Structured source objects tagged and independently verified; source edition and mathematical dependency gaps remain separate.
198	Intrinsic capacities on compact K\"ahler manifolds Guedj, Vincent; Zeriahi, Ahmed Original paper · arXiv:math/0401302v1	1	Structured source objects tagged and independently verified; source edition and mathematical dependency gaps remain separate.
199	Forms and currents on the analytification of an algebraic variety (after Chambert-Loir and Ducros) Gubler, Walter Original paper · arXiv:1303.7364v1	1	Structured source objects tagged and independently verified; source edition and mathematical dependency gaps remain separate.
200	Continuity of Plurisubharmonic Envelopes in Non-Archimedean Geometry and Test Ideals (with an Appendix by Jos\'e Ignacio Burgos Gil and Mart\'in Sombra) Gubler, Walter; Jell, Philipp; Künnemann, Klaus; Martin, Florent Original paper · arXiv:1712.00980v1	1	Structured source objects tagged and independently verified; source edition and mathematical dependency gaps remain separate.
201	On Zhang's semipositive metrics Gubler, Walter; Martin, Florent Original paper · arXiv:1608.08030v1	1	Structured source objects tagged and independently verified; source edition and mathematical dependency gaps remain separate.
202	Calibrated geometries Harvey, Reese; Lawson, H. Blaine, Jr Original paper	1	Original PDF; statement tagging unavailable
203	Riemannian holonomy groups and calibrated geometry Joyce, Dominic D Original paper	1	Original PDF; statement tagging unavailable
204	Conjectures on Bridgeland stability for Fukaya categories of Calabi-Yau manifolds, special Lagrangians, and Lagrangian mean curvature flow Joyce, Dominic Original paper · arXiv:1401.4949v1	1	Structured source objects tagged and independently verified; source edition and mathematical dependency gaps remain separate.
205	Toroidal embeddings. I Kempf, G.; Knudsen, Finn Faye; Mumford, D.; Saint-Donat, B	1	Source unresolved
206	The complex Monge-Ampère equation Kołodziej, Sławomir Original paper	1	Original PDF; statement tagging unavailable
207	The Monge-Ampère equation on compact Kähler manifolds Kołodziej, Sławomir	1	Source unresolved
208	H\"older continuity of solutions to the complex Monge-Amp\`ere equation with the right hand side in L^p. The case of compact K\"ahler manifolds Kołodziej, Sławomir Original paper · arXiv:math/0611051v1	1	Structured source objects tagged and independently verified; source edition and mathematical dependency gaps remain separate.
209	Homological mirror symmetry and torus fibrations Kontsevich, Maxim; Soibelman, Yan Original paper · arXiv:math/0011041v1	1	Structured source objects tagged and independently verified; source edition and mathematical dependency gaps remain separate.
210	Affine structures and non-archimedean analytic spaces Kontsevich, Maxim; Soibelman, Yan Original paper · arXiv:math/0406564v1	1	Structured source objects tagged and independently verified; source edition and mathematical dependency gaps remain separate.
211	Non-archimedean Kähler geometry Kontsevich, Maxim; Tschinkel, Yuri Original paper	1	Original PDF; statement tagging unavailable
212	Uniform Skoda integrability and Calabi-Yau degeneration Li, Yang Original paper · arXiv:2006.16961v1	1	Structured source objects tagged and independently verified; source edition and mathematical dependency gaps remain separate.
213	SYZ conjecture for Calabi-Yau hypersurfaces in the Fermat family Li, Yang Original paper · arXiv:1912.02360v1	1	Structured source objects tagged and independently verified; source edition and mathematical dependency gaps remain separate.
214	Metric SYZ conjecture and non-archimedean geometry Li, Yang Original paper · arXiv:2007.01384v1	1	Structured source objects tagged and independently verified; source edition and mathematical dependency gaps remain separate.
215	SYZ geometry for Calabi-Yau 3-folds: Taub-NUT and Ooguri-Vafa type metrics Li, Yang Original paper · arXiv:1902.08770v1	1	Structured source objects tagged and independently verified; source edition and mathematical dependency gaps remain separate.
216	Metric Collapsing on Calabi-Yau 3-folds Li, Yang Original paper	1	Original PDF; statement tagging unavailable
217	Diameter bounds for degenerating Calabi-Yau metrics Li, Yang; Tosatti, Valentino Original paper · arXiv:2006.13068v1	1	Structured source objects tagged and independently verified; source edition and mathematical dependency gaps remain separate.
218	Thomas-Yau conjecture and holomorphic curves Li, Yang Original paper · arXiv:2203.01467v1	1	Structured source objects tagged and independently verified; source edition and mathematical dependency gaps remain separate.
219	Lagrangian 3-torus fibrations Castano-Bernard, R.; Matessi, D. Original paper · arXiv:math/0611139v1	1	Structured source objects tagged and independently verified; source edition and mathematical dependency gaps remain separate.
220	Toric geometry and integral affine structures in non-archimedean mirror symmetry Mazzon, Enrica; Pille-Schneider, Léonard Original paper · arXiv:2110.04223v1	1	Structured source objects tagged and independently verified; source edition and mathematical dependency gaps remain separate.
221	Decomposition into pairs-of-pants for complex algebraic hypersurfaces Mikhalkin, Grigory Original paper · arXiv:math/0205011v1	1	Structured source objects tagged and independently verified; source edition and mathematical dependency gaps remain separate.
222	Partial regularity for singular solutions to the Monge-Ampere equation Mooney, Connor Original paper · arXiv:1304.2706v1	1	Structured source objects tagged and independently verified; source edition and mathematical dependency gaps remain separate.
223	The essential skeleton of a degeneration of algebraic varieties Nicaise, Johannes; Xu, Chenyang Original paper · arXiv:1307.4041v1	1	Structured source objects tagged and independently verified; source edition and mathematical dependency gaps remain separate.
224	The non-archimedean SYZ fibration Nicaise, Johannes; Xu, Chenyang; Yu, Tony Yue Original paper · arXiv:1802.00287v1	1	Structured source objects tagged and independently verified; source edition and mathematical dependency gaps remain separate.
225	Collapsing K3 Surfaces and Moduli Compactification Odaka, Yuji; Oshima, Yoshiki Original paper · arXiv:1805.01724v1	1	Structured source objects tagged and independently verified; source edition and mathematical dependency gaps remain separate.
226	Small perturbation solutions for elliptic equations Savin, Ovidiu Original paper	1	Original PDF; statement tagging unavailable
227	Lectures on Hermitian-Einstein metrics for stable bundles and Kähler-Einstein metrics Siu, Yum Tong Original paper	1	Original PDF; edition correspondence pending
228	Mirror Symmetry is T-Duality Strominger, Andrew; Yau, Shing-Tung; Zaslow, Eric Original paper · arXiv:hep-th/9606040v1	1	Author TeX retained; HTML pending
229	Integral affine structures on spheres and torus fibrations of Calabi-Yau toric hypersurfaces I Haase, Christian; Zharkov, Ilia Original paper · arXiv:math/0205321v1	1	Structured source objects tagged and independently verified; source edition and mathematical dependency gaps remain separate.
230	Integral affine structures on spheres and torus fibrations of Calabi-Yau toric hypersurfaces II Haase, Christian; Zharkov, Ilia Original paper · arXiv:math/0301222v1	1	Structured source objects tagged and independently verified; source edition and mathematical dependency gaps remain separate.
231	Limiting behavior of local Calabi-Yau metrics Zharkov, Ilia Original paper · arXiv:math/0304116v1	1	Structured source objects tagged and independently verified; source edition and mathematical dependency gaps remain separate.
232	Singularities of special Lagrangian fibrations and the SYZ Conjecture Joyce, Dominic Original paper · arXiv:math/0011179v1	1	Structured source objects tagged and independently verified; source edition and mathematical dependency gaps remain separate.
233	Complex structure degenerations and collapsing of Calabi-Yau metrics Sun, Song; Zhang, Ruobing Original paper · arXiv:1906.03368v1	1	Structured source objects tagged and independently verified; source edition and mathematical dependency gaps remain separate.
234	Stability estimates for the complex Monge-Amp\`ere and Hessian equations Guo, Bin; Phong, Duong H.; Tong, Freid Original paper · arXiv:2106.03913v1	1	Structured source objects tagged and independently verified; source edition and mathematical dependency gaps remain separate.
235	On $L^\infty$ estimates for complex Monge-Amp\`ere equations Guo, Bin; Phong, Duong H.; Tong, Freid Original paper · arXiv:2106.02224v1	1	Structured source objects tagged and independently verified; source edition and mathematical dependency gaps remain separate.
236	Limits of Calabi-Yau metrics when the Kahler class degenerates Tosatti, Valentino Original paper · arXiv:0710.4579v1	1	Structured source objects tagged and independently verified; source edition and mathematical dependency gaps remain separate.
237	Adiabatic limits of Ricci-flat Kahler metrics Tosatti, Valentino Original paper · arXiv:0905.4718v1	1	Structured source objects tagged and independently verified; source edition and mathematical dependency gaps remain separate.
238	On Kähler-Einstein metrics on certain Kähler manifolds with C₁(M)>0 Tian, Gang Original paper	1	Original PDF; statement tagging unavailable
239	Moment maps, monodromy and mirror manifolds Thomas, R. P. Original paper · arXiv:math/0104196v1	1	Structured source objects tagged and independently verified; source edition and mathematical dependency gaps remain separate.
240	Special Lagrangians, stable bundles and mean curvature flow Thomas, R. P.; Yau, S. -T. Original paper · arXiv:math/0104197v1	1	Structured source objects tagged and independently verified; source edition and mathematical dependency gaps remain separate.
241	A comparison of the real and non-archimedean Monge-Amp\`ere operator Vilsmeier, Christian Original paper · arXiv:1912.06220v1	1	Structured source objects tagged and independently verified; source edition and mathematical dependency gaps remain separate.
242	On the Ricci curvature of a compact Kähler manifold and the complex Monge-Ampère equation. I Yau, Shing Tung	1	Source unresolved
243	Nilpotent structures and collapsing Ricci-flat metrics on K3 surfaces Hein, Hans-Joachim; Sun, Song; Viaclovsky, Jeff; Zhang, Ruobing Original paper · arXiv:1807.09367v1	1	Structured source objects tagged and independently verified; source edition and mathematical dependency gaps remain separate.
244	Volume and capacity of sublevel sets of a Lelong class of plurisubharmonic functions Zeriahi, Ahmed Original paper	1	Original PDF; statement tagging unavailable
245	Collapsing of Calabi-Yau manifolds and special lagrangian submanifolds Zhang, Yuguang Original paper · arXiv:0911.1028v1	1	Structured source objects tagged and independently verified; source edition and mathematical dependency gaps remain separate.

Chapter order is a reading view. Bibliography links do not certify mathematical prerequisites or proof closure.