Tamely ramified covers of varieties and arithmetic schemes

被引：8
|
作者：
Wiesend, Goetz [1 ]
机构：
[1] Math Inst Univ, D-91054 Erlangen, Germany
来源：
FORUM MATHEMATICUM | 2008年 / 20卷 / 03期
关键词：
D O I：
10.1515/FORUM.2008.026
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
Let Y -> X be an etale cover of regular varieties or arithmetic schemes. We give the following intrinsic characterisation of tameness: Y -> X is tamely ramified (outside X), iff for every irreducible curve C subset of X with normalisation (C) over tilde the induced cover Y x(X) (C) over tilde -> (C) over tilde is tamely ramified (outside (C) over tilde).
引用
收藏
页码：515 / 522
页数：8
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