论文标题

在不可约合符号孔的Kähler锥上

On the Kähler cone of irreducible symplectic orbifolds

论文作者

Menet, Grégoire, Rieß, Ulrike

论文摘要

我们将全局Torelli定理的Hodge版本概括为不可还原的符号Orbifolds的框架。我们还提出了与Kähler锥有关的几个结果以及Mongardi平滑案例中引入的墙壁除数的概念的概括。作为应用程序,我们建议对镜像对称性的定义作为模量空间上的互动。在光滑的情况下,这种结构也是新的。

We generalize the Hodge version of the global Torelli theorem in the framework of irreducible symplectic orbifolds. We also propose a generalization of several results related to the Kähler cone and the notion of wall divisors introduced in the smooth case by Mongardi. As an application we propose a definition of the mirror symmetry as an involution on a moduli space; this construction is also new in the smooth case.

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