Geometry and arithmetic of certain double octic Calabi-Yau manifolds

被引：11

作者：

Cynk, S

Meyer, C

机构：

[1] Jagiellonian Univ, Inst Matemat, PL-30059 Krakow, Poland

[2] Univ Mainz, Fachbereich Math & Informat, D-55099 Mainz, Germany

来源：

CANADIAN MATHEMATICAL BULLETIN-BULLETIN CANADIEN DE MATHEMATIQUES | 2005年 / 48卷 / 02期

关键词：

Calabi-Yau; double coverings; modular forms;

D O I：

10.4153/CMB-2005-016-7

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We study Calabi-Yau manifolds constructed as double coverings of P-3 branched along an octic surface. We give a list of 87 examples corresponding to arrangements of eight planes defined over Q. The Hodge numbers are computed for all examples. There are 10 rigid Calabi-Yau manifolds and 14 families with h(1,2) = 1. The modularity conjecture is verified for all the rigid examples.

引用

页码：180 / 194

页数：15

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