带GLSM描述的Calabi-Yau三倍的Torelli问题

IF 1.2 3区数学 Q1 MATHEMATICS

Communications in Number Theory and Physics Pub Date : 2017-11-28 DOI:10.4310/cntp.2019.v13.n4.a2

Michał Kapustka, M. Rampazzo

引用次数: 21

摘要

我们构造了一个具有两个非二元K\“alher相的规范线性西格玛模型，我们证明了这两个相是导出等价的$\mathbb｛L｝$等价、变形等价和Hodge等价。这为二元Torelli问题提供了一个新的反例，该问题允许简单的GLSM解释。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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Torelli problem for Calabi–Yau threefolds with GLSM description

We construct a gauged linear sigma model with two non-birational K\"alher phases which we prove to be derived equivalent, $\mathbb{L}$-equivalent, deformation equivalent and Hodge equivalent. This provides a new counterexample to the birational Torelli problem which admits a simple GLSM interpretation.

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来源期刊

Communications in Number Theory and Physics MATHEMATICS, APPLIED-MATHEMATICS

CiteScore

2.70

自引率

5.30%

发文量

审稿时长

>12 weeks

期刊介绍： Focused on the applications of number theory in the broadest sense to theoretical physics. Offers a forum for communication among researchers in number theory and theoretical physics by publishing primarily research, review, and expository articles regarding the relationship and dynamics between the two fields.