论文标题

复杂的Kähler课程的特别代表

Special representatives of complexified Kähler classes

论文作者

Scarpa, Carlo, Stoppa, Jacopo

论文摘要

由镜像对称性出现的构造的动机,我们研究了复杂的Kähler类的特别代表,这些代表扩展了常规Kähler类的恒定标态曲率和极端代表的概念。特别是,我们提供了一个矩图解释,讨论与压缩的Landau-Ginzburg模型的可能对应关系,并证明了这种特殊的复杂Kähler形式的存在结果及其在某些感谢您的情况下的较大体积限制。

Motivated by constructions appearing in mirror symmetry, we study special representatives of complexified Kähler classes, which extend the notions of constant scalar curvature and extremal representatives for usual Kähler classes. In particular, we provide a moment map interpretation, discuss a possible correspondence with compactified Landau-Ginzburg models, and prove existence results for such special complexified Kähler forms and their large volume limits in certain toric cases.

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