Arithmetic moduli and lifting of Enriques surfaces

被引：21

作者：

Liedtke, Christian ^{[1
]}

机构：

[1] Tech Univ Munich, Zentrum Math M11, D-85748 Garching, Germany

来源：

JOURNAL FUR DIE REINE UND ANGEWANDTE MATHEMATIK | 2015年 / 706卷

关键词：

ALGEBRAIC-SURFACES; PROJECTIVE MODELS; AUTOMORPHISMS; DEFORMATIONS; CURVES; SPACE;

D O I：

10.1515/crelle-2013-0068

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We construct the moduli space of Enriques surfaces in positive characteristic and eventually over the integers, and determine its local and global structure. As an application, we show lifting of Enriques surfaces to characteristic zero. The key observation is that the canonical double cover of an Enriques surface is birational to the complete intersection of three quadrics in P-5, even in characteristic 2.

引用

页码：35 / 65

页数：31

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