Torelli problem for Calabi–Yau threefolds with GLSM description

IF 16.4 1区化学 Q1 CHEMISTRY, MULTIDISCIPLINARY

Accounts of Chemical Research Pub Date : 2017-11-28 DOI:10.4310/cntp.2019.v13.n4.a2

Michał Kapustka, M. Rampazzo

引用次数: 21

Abstract

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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带GLSM描述的Calabi-Yau三倍的Torelli问题

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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来源期刊

Accounts of Chemical Research 化学-化学综合

CiteScore

31.40

自引率

1.10%

发文量

312

审稿时长

2 months

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