On Calabi-Yau fractional complete intersections

被引：0

作者：

Lee, Tsung-Ju ^{[1
]}

Lian, Bong H. ^{[2
]}

Yau, Shing-Tung ^{[3
,4
]}

机构：

[1] Harvard Univ, Ctr Math Sci & Applicat, Cambridge, MA 02138 USA

[2] Brandeis Univ, Dept Math, Waltham, MA 02454 USA

[3] Harvard Univ, Dept Math, Cambridge, MA 02138 USA

[4] Tsinghua Univ, Yau Math Sci Ctr, Beijing 100084, Peoples R China

来源：

PURE AND APPLIED MATHEMATICS QUARTERLY | 2022年 / 18卷 / 01期

关键词：

Calabi-Yau; mirror symmetry; fractional complete intersections; MIRROR SYMMETRY; INTEGRALS;

D O I：

暂无

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this article, we study mirror symmetry for pairs of singular Calabi-Yau varieties which are double covers of toric manifolds. Their period integrals can be seen as certain 'fractional' analogues of those of ordinary complete intersections. This new structure can then be used to solve their Riemann-Hilbert problems. The latter can then be used to answer definitively questions about mirror symmetry for this class of Calabi-Yau varieties.

引用

页码：317 / 342

页数：26

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