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Torelli problem for Calabi–Yau threefolds with GLSM description
Communications in Number Theory and Physics ( IF 1.2 ) Pub Date : 2019-01-01 , DOI: 10.4310/cntp.2019.v13.n4.a2
Michał Kapustka 1 , Marco Rampazzo 2
Affiliation  

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.

中文翻译:

具有 GLSM 描述的 Calabi-Yau 三重的 Torelli 问题

我们构建了一个具有两个非双有理 K\"alher 相的规范线性 sigma 模型,我们证明它是导出等价的,$\mathbb{L}$-等价,变形等价和 Hodge 等价。这为双有理 Torelli 提供了一个新的反例承认简单的 GLSM 解释的问题。
更新日期:2019-01-01
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