Calabi-Yau threefolds with non-Gorenstein involutions

被引：0

作者：

Lee, Nam-Hoon ^{[1
,2
,3
]}

机构：

[1] Hongik Univ, Dept Math Educ, Seoul, South Korea

[2] Korea Inst Adv Study, Sch Math, Seoul, South Korea

[3] Hongik Univ, Dept Math Educ, 42-1 Sangsu Dong, Seoul 121791, South Korea

来源：

MATHEMATISCHE NACHRICHTEN | 2023年 / 296卷 / 08期

基金：

新加坡国家研究基金会;

关键词：

Calabi-Yau threefold; involution; Q-Fano threefold; Q-FANO; 3-FOLDS; CLASSIFICATION; VARIETIES;

D O I：

10.1002/mana.202100027

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

The concept of non-Gorenstein involutions on Calabi-Yau threefolds is a higher dimensional generalization of non-symplectic involutions on K3 surfaces. We present some elementary facts about Calabi-Yau threefolds with non-Gorenstein involutions. We give a classification of the Calabi-Yau threefolds of Picard rank one with non-Gorenstein involutions, whose fixed locus is not zero-dimensional.

引用

页码：3449 / 3458

页数：10

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