ON THE HYPERPLANE CONJECTURE FOR PERIODS OF CALABI-YAU HYPERSURFACES IN Pn

被引：2

作者：

Lian, Bong H. ^{[1
]}

Zhu, Minxian ^{[2
,3
]}

机构：

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

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

[3] Tsinghua Univ, Dept Math Sci, Beijing 100084, Peoples R China

来源：

JOURNAL OF DIFFERENTIAL GEOMETRY | 2021年 / 118卷 / 01期

基金：

中国国家自然科学基金; 美国国家科学基金会;

关键词：

HYPERGEOMETRIC-FUNCTIONS; COHOMOLOGY;

D O I：

10.4310/jdg/1620272942

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In [HLY1], Hosono, Lian, and Yau gave a conjectural characterization of the set of solutions to certain Gelfand-Kapranov-Zelevinsky hypergeometric equations which are realized as periods of Calabi-Yau hypersurfaces in a Gorenstein Fano toric variety X. We prove this conjecture in the case where X is a complex projective space.

引用

页码：101 / 146

页数：46

共 26 条

[1] HYPERGEOMETRIC-FUNCTIONS AND RINGS GENERATED BY MONOMIALS [J].