论文标题
关于公制的SYZ猜想和非一切集几何的调查
Survey on the metric SYZ conjecture and non-archimedean geometry
论文作者
论文摘要
我们调查了Strominger-Yau-Zaslow猜想的指标，这些猜想是在大型复杂结构限制附近的Calabi-yau歧管上存在特殊的Lagrangian纤维。我们将讨论猜想的动机，最佳希望以及许多微妙的动机。调查的大部分凸显了多功能理论的作用，尤其是非架构的几何形状，并带有一系列空旷的问题。
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.
