Chapter 55: SYZ geometry for Calabi-Yau 3-folds: Taub-NUT and Ooguri-Vafa type metrics 001I

Li, Yang

Original paper · arXiv:1902.08770v1

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Source edition: 1902.08770v1

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Statements and objects

1. Conjecture 1.1 . [03Y3]
2. Theorem 1.2 . [03Y4]
3. Remark 1.1 . [03Y5]
4. Theorem 1.3 . [03Y6]
5. Theorem 1.4 . [03Y7]
6. Remark 1.2 . [03Y8]
7. Remark 1.3 . [03Y9]
8. Notation . [03YA]
9. Remark 1.4 . [03YE]
10. Example 1.1 . [03YJ]
11. Example 1.2 . [03YK]
12. Example 1.3 . [03YL]
13. Example 1.4 . [03YM]
14. Example 1.5 . [03YN]
15. Theorem 1.5 . [03YQ]
16. Remark 1.5 . [03YR]
17. Proof. [03YS]
18. Remark 1.6 . [03YT]
19. Remark 1.7 . [03YU]
20. Remark 1.8 . [03YV]
21. Example 1.6 . [03YX]
22. Example 1.7 . [03YY]
23. Lemma 1.6 . [03YZ]
24. Proof. [03Z0]
25. Remark 1.9 . [03Z1]
26. Example 1.8 . [03Z2]
27. Example 1.9 . [03Z4]
28. Example 1.10 . [03Z5]
29. Remark 1.10 . [03Z9]
30. Remark 2.1 . [03ZH]
31. Lemma 2.1 . [03ZI]
32. Proof. [03ZJ]
33. Proposition 2.2 . [03ZK]
34. Proof. [03ZL]
35. Remark 2.2 . [03ZM]
36. Remark 2.3 . [03ZN]
37. Lemma 2.3 . [03ZQ]
38. Proof. [03ZR]
39. Corollary 2.4 . [03ZS]
40. Remark 2.4 . [03ZU]
41. Lemma 2.5 . [03ZV]
42. Proof. [03ZW]
43. Lemma 2.6 . [03ZX]
44. Remark 2.5 . [03ZY]
45. Remark 2.6 . [03ZZ]
46. Remark 2.7 . [0400]
47. Lemma 2.7 . [0402]
48. Proof. [0403]
49. Lemma 2.8 . [0404]
50. Proof. [0405]
51. Lemma 2.9 . [0406]
52. Proof. [0407]
53. Lemma 2.10 . [0408]
54. Proof. [0409]
55. Proposition 2.11 . [040A]
56. Proof. [040B]
57. Remark 2.8 . [040C]
58. Lemma 2.12 . [040E]
59. Proof. [040F]
60. Proposition 2.13 . [040G]
61. Proof. [040H]
62. Lemma 2.14 . [040J]
63. Proposition 2.15 . [040L]
64. Proof. [040M]
65. Corollary 2.16 . [040N]
66. Corollary 2.17 . [040P]
67. Lemma 2.18 . [040R]
68. Proof. [040S]
69. Lemma 2.19 . [040T]
70. Proof. [040U]
71. Lemma 2.20 . [040V]
72. Proof. [040W]
73. Lemma 2.21 . [040X]
74. Proof. [040Y]
75. Lemma 2.22 . [040Z]
76. Proof. [0410]
77. Proposition 2.23 . [0411]
78. Proof. [0412]
79. Remark 2.9 . [0413]
80. Remark 2.10 . [0414]
81. Corollary 2.24 . [0415]
82. Proof. [0416]
83. Lemma 2.25 . [0418]
84. Proof. [0419]
85. Theorem 2.26 . [041A]
86. Proof. [041B]
87. Corollary 2.27 . [041C]
88. Corollary 2.28 . [041D]
89. Proof. [041E]
90. Corollary 2.29 . [041F]
91. Remark 2.11 . [041G]
92. Proof. [041H]
93. Lemma 2.30 . [041J]
94. Proof. [041K]
95. Proposition 2.31 . [041L]
96. Proof. [041M]
97. Question . [041N]
98. Question . [041P]
99. Question . [041S]
100. Remark 2.12 . [041U]
101. Notation . [041Z]
102. Proposition 3.1 . [0420]
103. Proof. [0421]
104. Remark 3.1 . [0422]
105. Remark 3.2 . [0423]
106. Remark 3.3 . [0424]
107. Lemma 3.2 . [0425]
108. Proof. [0426]
109. Proposition 3.3 . [0428]
110. Proof. [0429]
111. Lemma 3.4 . [042A]
112. Proof. [042B]
113. Proposition 3.5 . [042C]
114. Proof. [042D]
115. Remark 3.4 . [042E]
116. Lemma 3.6 . [042F]
117. Proof. [042G]
118. Lemma 3.7 . [042I]
119. Proof. [042J]
120. Lemma 3.8 . [042K]
121. Proof. [042L]
122. Lemma 3.9 . [042M]
123. Proof. [042N]
124. Lemma 3.10 . [042P]
125. Proof. [042Q]
126. Proposition 3.11 . [042R]
127. Proof. [042S]
128. Remark 3.5 . [042T]
129. Notation . [042V]
130. Notation . [042W]
131. Lemma 3.12 . [042X]
132. Lemma 3.13 . [042Y]
133. Lemma 3.14 . [042Z]
134. Lemma 3.15 . [0430]
135. Lemma 3.16 . [0431]
136. Lemma 3.17 . [0433]
137. Proof. [0434]
138. Lemma 3.18 . [0435]
139. Proof. [0436]
140. Lemma 3.19 . [0437]
141. Remark 3.6 . [0438]
142. Remark 3.7 . [0439]
143. Proof. [043A]
144. Lemma 3.20 . [043B]
145. Proof. [043C]
146. Proposition 3.21 . [043D]
147. Proposition 3.22 . [043E]
148. Remark 3.8 . [043F]
149. Proposition 3.23 . [043H]
150. Proof. [043I]
151. Corollary 3.24 . [043J]
152. Lemma 3.25 . [043M]
153. Proof. [043N]
154. Lemma 3.26 . [043P]
155. Proof. [043Q]
156. Corollary 3.27 . [043R]
157. Proof. [043S]
158. Lemma 3.28 . [043U]
159. Proposition 3.29 . [043V]
160. Lemma 3.30 . [043X]
161. Proposition 3.31 . [043Z]
162. Proof. [0440]
163. Proposition 3.32 . [0442]
164. Proof. [0443]
165. Theorem 3.33 . [0444]
166. Proof. [0445]
167. Remark 3.9 . [0446]
168. Corollary 3.34 . [0448]
169. Corollary 3.35 . [0449]
170. Proof. [044A]
171. Remark 3.10 . [044B]
172. Proposition 3.36 . [044D]
173. Proof. [044E]
174. Notation . [044H]
175. Remark 4.1 . [044I]
176. Lemma 4.1 . [044J]
177. Proof. [044K]
178. Lemma 4.2 . [044L]
179. Proof. [044M]
180. Lemma 4.3 . [044N]
181. Proof. [044P]
182. Proposition 4.4 . [044Q]
183. Lemma 4.5 . [044R]
184. Proof. [044S]
185. Corollary 4.6 . [044T]
186. Proof. [044U]
187. Proposition 4.7 . [044V]
188. Remark 4.2 . [044W]
189. Lemma 4.8 . [044Y]
190. Proof. [044Z]
191. Corollary 4.9 . [0450]
192. Lemma 4.10 . [0451]
193. Proof. [0452]
194. Lemma 4.11 . [0453]
195. Remark 4.3 . [0454]
196. Lemma 4.12 . [0456]
197. Proof. [0457]
198. Proposition 4.13 . [0458]
199. Proof. [0459]
200. Lemma 4.14 . [045A]
201. Proof. [045B]
202. Lemma 4.15 . [045D]
203. Proof. [045E]
204. Proposition 4.16 . [045F]
205. Remark 4.4 . [045G]
206. Proof. [045H]
207. Corollary 4.17 . [045I]
208. Proposition 4.18 . [045K]
209. Proof. [045L]
210. Proposition 4.19 . [045M]
211. Proof. [045N]
212. Remark 4.5 . [045P]
213. Lemma 4.20 . [045R]
214. Proof. [045S]
215. Lemma 4.21 . [045T]
216. Proof. [045U]
217. Lemma 4.22 . [045V]
218. Proof. [045W]
219. Lemma 4.23 . [045X]
220. Proof. [045Y]
221. Lemma 4.24 . [045Z]
222. Proof. [0460]
223. Lemma 4.25 . [0461]
224. Proof. [0462]
225. Remark 4.6 . [0463]
226. Remark 4.7 . [0464]
227. Proposition 4.26 . [0465]
228. Proof. [0466]
229. Lemma 4.27 . [0467]
230. Proof. [0468]
231. Lemma 4.28 . [0469]
232. Proof. [046A]
233. Proposition 4.29 . [046B]
234. Proof. [046C]
235. Notation . [046E]
236. Notation . [046F]
237. Lemma 4.30 . [046G]
238. Proof. [046H]
239. Proposition 4.31 . [046J]
240. Remark 4.8 . [046K]
241. Proposition 4.32 . [046L]
242. Proposition 4.33 . [046M]
243. Proposition 4.34 . [046N]
244. Proof. [046P]
245. Lemma 4.35 . [046R]
246. Proof. [046S]
247. Lemma 4.36 . [046T]
248. Proof. [046U]
249. Proposition 4.37 . [046W]
250. Theorem 4.38 . [046X]
251. Corollary 4.39 . [046Z]
252. Corollary 4.40 . [0470]
253. Proposition 4.41 . [0471]
254. Proof. [0472]
255. Remark 4.9 . [0475]
256. Remark 4.10 . [0476]

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