On coverings of Deligne-Mumford stacks and surjectivity of the Brauer map

被引：47

作者：

Kresch, A ^{[1
]}

Vistoli, A

机构：

[1] Univ Penn, Dept Math, Philadelphia, PA 19104 USA

[2] Univ Bologna, Dipartmento Matemat, I-40126 Bologna, Italy

来源：

BULLETIN OF THE LONDON MATHEMATICAL SOCIETY | 2004年 / 36卷

关键词：

D O I：

10.1112/S0024609303002728

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

The paper proves a result on the existence of finite flat scheme covers of Deligne-Mumford stacks. This result is used to prove that a large class of smooth Deligne-Mumford stacks with affine moduli space are quotient stacks, and in the case of quasi-projective moduli space, to reduce the question to a classical question on Brauer groups of schemes.

引用

页码：188 / 192

页数：5

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