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.
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页码：180 / 194
页数：15
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