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Complex structures of a twenty-dimensional family of Calabi–Yau $3$-folds
Communications in Analysis and Geometry ( IF 0.7 ) Pub Date : 2023-07-13 , DOI: 10.4310/cag.2022.v30.n8.a6
Chuangqiang Hu 1 , Stephen S.-T. Yau 2 , Huaiqing Zuo 2
Affiliation  

In this paper, we classify all isomorphic classes of a family of Calabi–Yau $3$-folds with $20$ parameters. In addition, we show that the isomorphisms form a finite group. The invariants under the action of this group are calculated by introducing the so-called DS‑graph.

中文翻译:

Calabi-Yau $3$-folds 二十维家族的复杂结构

在本文中,我们对具有 $20$ 参数的 Calabi-Yau $3$ 折叠家族的所有同构类进行分类。此外,我们证明同构形成有限群。通过引入所谓的 DS 图来计算该群作用下的不变量。
更新日期:2023-07-14
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