Some Calabi-Yau threefolds with obstructed deformations over the Witt vectors

被引：22

作者：

Schröer, S ^{[1
]}

机构：

[1] Univ Bayreuth, Inst Math, D-95440 Bayreuth, Germany

来源：

COMPOSITIO MATHEMATICA | 2004年 / 140卷 / 06期

关键词：

Calabi-Yau manifold; supersingular K3-surface; generalized Kummer surface;

D O I：

10.1112/S0010437X04000545

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Some smooth Calabi-Yau threefolds in characteristic two and three that do not lift to characteristic zero are constructed. These threefolds are pencils of supersingular K3-surfaces. The construction depends on Moret-Bailly's pencil of abelian surfaces and Katsura's analysis of generalized Kummer surfaces. The threefold in characteristic two turns out to be nonrigid.

引用

页码：1579 / 1592

页数：14

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