论文标题

在两个变量中可逆多项式的同源镜对称性

Homological mirror symmetry for invertible polynomials in two variables

论文作者

Habermann, Matthew

论文摘要

在本文中,我们给出了两个可变性多项式的同源镜子对称性的证明,其中$ b $ - 侧面的对称组被认为是最大的。证明涉及Milnor纤维的显式胶合结构,作为应用,我们证明了某些淋巴结堆积曲线之间的等价性,其中一些曲线具有非平凡的通用稳定剂。

In this paper, we give a proof of homological mirror symmetry for two variable invertible polynomials, where the symmetry group on the $B$-side is taken to be maximal. The proof involves an explicit gluing construction of the Milnor fibres, and as an application, we prove derived equivalences between certain nodal stacky curves, some of whose irreducible components have non-trivial generic stabiliser.

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