MIRROR SYMMETRY FOR DOUBLE COVER CALABI-YAU VARIETIES

被引：0

作者：

Hosono, Shinobu ^{[1
]}

Lee, Tsung-Ju

Lian, Bong H. ^{[1
]}

Yau, Shing-Tung ^{[2
,3
,4
,5
]}

机构：

[1] Gakushuin Univ, Dept Math, Toshima Ku, Mejiro, Tokyo 171-8588, Japan

[2] Natl Cheng Kung Univ, Dept Math, Tainan 70101, Taiwan

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

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

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

来源：

JOURNAL OF DIFFERENTIAL GEOMETRY | 2024年 / 127卷 / 01期

关键词：

PERIOD INTEGRALS; 4-PARAMETER FAMILY; K3; SURFACES; MAP; MANIFOLDS;

D O I：

10.4310/jdg/1717356161

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

The presented paper is a continuation of the series of papers [17, 18]. In this paper, utilizing Batyrev and Borisov's duality construction on nef-partitions, we generalize the recipe in [17,18] to construct a pair of singular double cover Calabi-Yau varieties ( Y, Y (nu) ) over toric manifolds and compute their topological Euler characteristics and Hodge numbers. In the 3 -dimensional cases, we show that ( Y, Y (nu) ) forms a topological mirror pair, i.e., h (p , q) ( Y ) = h (3 - p,q) ( Y (nu) ) for all p, q .

引用

页码：409 / 431

页数：23

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