Mirror pairs of Calabi-Yau threefolds from mirror pairs of quasi-Fano threefolds

被引：2

作者：

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

机构：

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

[2] Korea Inst Adv Study, Sch Math, Seoul 130722, South Korea

来源：

JOURNAL DE MATHEMATIQUES PURES ET APPLIQUEES | 2020年 / 141卷

基金：

新加坡国家研究基金会;

关键词：

Calabi-Yau threefold; Smoothing; Mirror symmetry; Landau-Ginzburg model; Quasi-Fano manifold; K3; SURFACES; DEGENERATIONS; FIBRATIONS; VARIETIES; SYMMETRY;

D O I：

10.1016/j.matpur.2019.12.007

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We present a new construction of mirror pairs of Calabi-Yau manifolds by smoothing normal crossing varieties, consisting of two quasi-Fano manifolds. We introduce a notion of mirror pairs of quasi-Fano manifolds with anticanonical Calabi-Yau MSC: fibrations using recent conjectures about Landau-Ginzburg models. Utilizing this notion, we give pairs of normal crossing varieties and show that the pairs of smoothed Calabi-Yau manifolds satisfy the Hodge number relations of mirror symmetry. We consider quasi-Fano threefolds that are some blow-ups of Gorenstein toric Fano threefolds and build 6518 mirror pairs of Calabi-Yau threefolds, including 79 self-mirrors. (C) 2019 Elsevier Masson SAS. All rights reserved.

引用

页码：195 / 219

页数：25

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