Survey on the metric SYZ conjecture and non-Archimedean geometry

被引：4
作者：
Li, Yang [1 ]
机构：
[1] MIT, Dept Math, 182 Mem Dr, Cambridge, MA 02142 USA
来源：
INTERNATIONAL JOURNAL OF MODERN PHYSICS A | 2022年 / 37卷 / 17期
关键词：
SYZ conjecture; metric degeneration; Calabi-Yau metric; special Lagrangian; pluripotential theory; non-Archimedean; MONGE-AMPERE EQUATION; KAHLER-MANIFOLDS; LIMITS; CURVATURE; CONTINUITY; REGULARITY; PROPERTY; VOLUME;
D O I：
10.1142/S0217751X22300095
中图分类号：
O57 [原子核物理学、高能物理学];
学科分类号：
070202 ;
摘要：
We survey the metric aspects of the Strominger-Yau-Zaslow conjecture on the existence of special Lagrangian fibrations on Calabi-Yau manifolds near the large complex structure limit. We will discuss the diverse motivations for the conjectural picture, what the best hopes are, and a number of subtleties. The bulk of the survey highlights the role of pluripotential theory, and non-Archimedean geometry in particular, with a list of open questions.
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页数：44
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