New: linked bibliographies of the selected three chapters

Direct-reference chapters

80 original bibliography entries; the references of these works are not expanded.

1. On regularization of plurisubharmonic functions on manifolds
   Błocki, Zbigniew · Kołodziej, Sławomir
   Source status: identity unresolved.
2. The Calabi-Yau theorem
   Błocki, Zbigniew
   Source status: identity unresolved.
3. Tropical and non-Archimedean limits of degenerating families of volume forms
   Boucksom, Sébastien · Jonsson, Mattias
   Full author HTML available; permanent source-object tagging pending.
4. Solution to a non-Archimedean Monge-Amp\`ere equation
   Boucksom, S. · Favre, C. · Jonsson, M.
   Full author HTML available; permanent source-object tagging pending.
5. The Non-Archimedean Monge-Ampere Equation
   Boucksom, Sebastien · Favre, Charles · Jonsson, Mattias
   Full author HTML available; permanent source-object tagging pending.
6. Singular semipositive metrics in non-Archimedean geometry
   Boucksom, S. · Favre, C. · Jonsson, M.
   Full author HTML available; permanent source-object tagging pending.
7. A localization property of viscosity solutions to the Monge-Ampère equation and their strict convexity
   Caffarelli, L. A
   Source status: identity unresolved.
8. Interior W^{2,p} estimates for solutions of the Monge-Ampère equation
   Caffarelli, Luis A
   Source status: identity unresolved.
9. A note on the degeneracy of convex solutions to Monge Ampère equation
   Caffarelli, Luis A
   Source status: identity unresolved.
10. On the regularity of solutions to Monge-Ampère equations on Hessian manifolds
    Caffarelli, Luis A. · Viaclovsky, Jeff A
    Source status: identity unresolved.
11. Heights and measures on analytic spaces. A survey of recent results, and some remarks
    Chambert-Loir, Antoine
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12. Formes diff\'erentielles r\'eelles et courants sur les espaces de Berkovich
    Chambert-Loir, Antoine · Ducros, Antoine
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13. Regularity of Einstein Manifolds and the Codimension 4 Conjecture
    Cheeger, Jeff · Naber, Aaron
    Full author HTML available; permanent source-object tagging pending.
14. The Strominger-Yau-Zaslow conjecture and its impact
    Chan, Kwokwai
    Full author HTML available; permanent source-object tagging pending.
15. On the constant scalar curvature K\"ahler metrics, apriori estimates
    Chen, Xiuxiong · Cheng, Jingrui
    Full author HTML available; permanent source-object tagging pending.
16. Complete Calabi-Yau metrics in the complement of two divisors
    Collins, Tristan C. · Li, Yang
    Full author HTML available; permanent source-object tagging pending.
17. An extension theorem for K\"ahler currents
    Collins, Tristan C. · Tosatti, Valentino
    Full author HTML available; permanent source-object tagging pending.
18. Extension property of semipositive invertible sheaves over a non-archimedean field
    Chen, Huayi · Moriwaki, Atsushi
    Full author HTML available; permanent source-object tagging pending.
19. Extension of plurisubharmonic functions with growth control
    Coman, Dan · Guedj, Vincent · Zeriahi, Ahmed
    Full author HTML available; permanent source-object tagging pending.
20. Degenerate complex Monge-Amp\`ere equations over compact K\"ahler manifolds
    Demailly, Jean-Pierre · Pali, Nefton
    Full author HTML available; permanent source-object tagging pending.
21. Frontiere orientate di misura minima
    De Giorgi, Ennio
    Source status: identity unresolved.
22. Kahler geometry on toric manifolds, and some other manifolds with large symmetry
    Donaldson, S. K.
    Full author HTML available; permanent source-object tagging pending.
23. Gromov-Hausdorff limits of Kahler manifolds and algebraic geometry
    Donaldson, Simon · Sun, Song
    Full author HTML available; permanent source-object tagging pending.
24. Singular Kahler-Einstein metrics
    Eyssidieux, Philippe · Guedj, Vincent · Zeriahi, Ahmed
    Full author HTML available; permanent source-object tagging pending.
25. A priori $L^{\infty}$-estimates for degenerate complex Monge-Amp\`ere equations
    Eyssidieux, P. · Guedj, V. · Zeriahi, A.
    Full author HTML available; permanent source-object tagging pending.
26. Non-Archimedean metric extension for semipositive line bundles
    Fang, Yanbo
    Full author HTML available; permanent source-object tagging pending.
27. ALF gravitational instantons and collapsing Ricci-flat metrics on the K3 surface
    Foscolo, Lorenzo
    Full author HTML available; permanent source-object tagging pending.
28. Arithmetic geometry of toric varieties. Metrics, measures and heights
    Gil, José Ignacio Burgos · Philippon, Patrice · Sombra, Martín
    Full author HTML available; permanent source-object tagging pending.
29. Mirror Symmetry and the Strominger-Yau-Zaslow conjecture
    Gross, Mark
    Full author HTML available; permanent source-object tagging pending.
30. Topological Mirror Symmetry
    Gross, Mark
    Full author HTML available; permanent source-object tagging pending.
31. Collapsing of abelian fibred Calabi-Yau manifolds
    Gross, Mark · Tosatti, Valentino · Zhang, Yuguang
    Full author HTML available; permanent source-object tagging pending.
32. Large Complex Structure Limits of K3 Surfaces
    Gross, Mark · Wilson, P. M. H.
    Full author HTML available; permanent source-object tagging pending.
33. Intrinsic capacities on compact K\"ahler manifolds
    Guedj, Vincent · Zeriahi, Ahmed
    Full author HTML available; permanent source-object tagging pending.
34. Forms and currents on the analytification of an algebraic variety (after Chambert-Loir and Ducros)
    Gubler, Walter
    Full author HTML available; permanent source-object tagging pending.
35. 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
    Full author HTML available; permanent source-object tagging pending.
36. On Zhang's semipositive metrics
    Gubler, Walter · Martin, Florent
    Full author HTML available; permanent source-object tagging pending.
37. Integral affine structures on spheres and torus fibrations of Calabi-Yau toric hypersurfaces I
    Haase, Christian · Zharkov, Ilia
    Full author HTML available; permanent source-object tagging pending.
38. Integral affine structures on spheres and torus fibrations of Calabi-Yau toric hypersurfaces II
    Haase, Christian · Zharkov, Ilia
    Full author HTML available; permanent source-object tagging pending.
39. Calibrated geometries
    Harvey, Reese · Lawson, H. Blaine, Jr
    Source status: identity unresolved.
40. Nilpotent structures and collapsing Ricci-flat metrics on K3 surfaces
    Hein, Hans-Joachim · Sun, Song · Viaclovsky, Jeff · Zhang, Ruobing
    Full author HTML available; permanent source-object tagging pending.
41. Singularities of special Lagrangian fibrations and the SYZ Conjecture
    Joyce, Dominic
    Full author HTML available; permanent source-object tagging pending.
42. Riemannian holonomy groups and calibrated geometry
    Joyce, Dominic D
    Source status: identity unresolved.
43. Conjectures on Bridgeland stability for Fukaya categories of Calabi-Yau manifolds, special Lagrangians, and Lagrangian mean curvature flow
    Joyce, Dominic
    Full author HTML available; permanent source-object tagging pending.
44. Toroidal embeddings. I
    Kempf, G. · Knudsen, Finn Faye · Mumford, D. · Saint-Donat, B
    Source status: identity unresolved.
45. The complex Monge-Ampère equation
    Kołodziej, Sławomir
    Source status: identity unresolved.
46. The Monge-Ampère equation on compact Kähler manifolds
    Kołodziej, Sławomir
    Source status: identity unresolved.
47. 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
    Full author HTML available; permanent source-object tagging pending.
48. Homological mirror symmetry and torus fibrations
    Kontsevich, Maxim · Soibelman, Yan
    Full author HTML available; permanent source-object tagging pending.
49. Affine structures and non-archimedean analytic spaces
    Kontsevich, Maxim · Soibelman, Yan
    Full author HTML available; permanent source-object tagging pending.
50. Non-archimedean Kähler geometry
    Kontsevich, Maxim · Tschinkel, Yuri
    Source status: identity unresolved.
51. Uniform Skoda integrability and Calabi-Yau degeneration
    Li, Yang
    Full author HTML available; permanent source-object tagging pending.
52. SYZ conjecture for Calabi-Yau hypersurfaces in the Fermat family
    Li, Yang
    Full author HTML available; permanent source-object tagging pending.
53. Metric SYZ conjecture and non-archimedean geometry
    Li, Yang
    Full author HTML available; permanent source-object tagging pending.
54. SYZ geometry for Calabi-Yau 3-folds: Taub-NUT and Ooguri-Vafa type metrics
    Li, Yang
    Full author HTML available; permanent source-object tagging pending.
55. PhD thesis, Imperial College London (2019)
    Li, Yang
    Source status: identity unresolved.
56. Diameter bounds for degenerating Calabi-Yau metrics
    Li, Yang · Tosatti, Valentino
    Full author HTML available; permanent source-object tagging pending.
57. Thomas-Yau conjecture and holomorphic curves
    Li, Yang
    Full author HTML available; permanent source-object tagging pending.
58. Lagrangian 3-torus fibrations
    Castano-Bernard, R. · Matessi, D.
    Full author HTML available; permanent source-object tagging pending.
59. Toric geometry and integral affine structures in non-archimedean mirror symmetry
    Mazzon, Enrica · Pille-Schneider, Léonard
    Full author HTML available; permanent source-object tagging pending.
60. Decomposition into pairs-of-pants for complex algebraic hypersurfaces
    Mikhalkin, Grigory
    Full author HTML available; permanent source-object tagging pending.
61. Partial regularity for singular solutions to the Monge-Ampere equation
    Mooney, Connor
    Full author HTML available; permanent source-object tagging pending.
62. The essential skeleton of a degeneration of algebraic varieties
    Nicaise, Johannes · Xu, Chenyang
    Full author HTML available; permanent source-object tagging pending.
63. The non-archimedean SYZ fibration
    Nicaise, Johannes · Xu, Chenyang · Yu, Tony Yue
    Full author HTML available; permanent source-object tagging pending.
64. Collapsing K3 Surfaces and Moduli Compactification
    Odaka, Yuji · Oshima, Yoshiki
    Full author HTML available; permanent source-object tagging pending.
65. Small perturbation solutions for elliptic equations
    Savin, Ovidiu
    Source status: identity unresolved.
66. Lectures on Hermitian-Einstein metrics for stable bundles and Kähler-Einstein metrics
    Siu, Yum Tong
    Source status: identity unresolved.
67. Mirror Symmetry is T-Duality
    Strominger, Andrew · Yau, Shing-Tung · Zaslow, Eric
    Author TeX retained; HTML reader pending.
68. Complex structure degenerations and collapsing of Calabi-Yau metrics
    Sun, Song · Zhang, Ruobing
    Full author HTML available; permanent source-object tagging pending.
69. Stability estimates for the complex Monge-Amp\`ere and Hessian equations
    Guo, Bin · Phong, Duong H. · Tong, Freid
    Full author HTML available; permanent source-object tagging pending.
70. On $L^\infty$ estimates for complex Monge-Amp\`ere equations
    Guo, Bin · Phong, Duong H. · Tong, Freid
    Full author HTML available; permanent source-object tagging pending.
71. Limits of Calabi-Yau metrics when the Kahler class degenerates
    Tosatti, Valentino
    Full author HTML available; permanent source-object tagging pending.
72. Adiabatic limits of Ricci-flat Kahler metrics
    Tosatti, Valentino
    Full author HTML available; permanent source-object tagging pending.
73. On Kähler-Einstein metrics on certain Kähler manifolds with C_{1}(M)>0
    Tian, Gang
    Source status: identity unresolved.
74. Moment maps, monodromy and mirror manifolds
    Thomas, R. P.
    Full author HTML available; permanent source-object tagging pending.
75. Special Lagrangians, stable bundles and mean curvature flow
    Thomas, R. P. · Yau, S. -T.
    Full author HTML available; permanent source-object tagging pending.
76. A comparison of the real and non-archimedean Monge-Amp\`ere operator
    Vilsmeier, Christian
    Full author HTML available; permanent source-object tagging pending.
77. On the Ricci curvature of a compact Kähler manifold and the complex Monge-Ampère equation. I
    Yau, Shing Tung
    Source status: identity unresolved.
78. Limiting behavior of local Calabi-Yau metrics
    Zharkov, Ilia
    Full author HTML available; permanent source-object tagging pending.
79. Volume and capacity of sublevel sets of a Lelong class of plurisubharmonic functions
    Zeriahi, Ahmed
    Source status: identity unresolved.
80. Collapsing of Calabi-Yau manifolds and special lagrangian submanifolds
    Zhang, Yuguang
    Full author HTML available; permanent source-object tagging pending.