GLOBAL QUOTIENTS AMONG TORIC DELIGNE-MUMFORD STACKS

被引：0
|
作者：
Harada, Megumi [1 ]
Krepski, Derek [2 ]
机构：
[1] McMaster Univ, Dept Math & Stat, Hamilton, ON L8S 4K1, Canada
[2] Univ Western Ontario, Middlesex Coll, Dept Math, London, ON N6A 5B7, Canada
来源：
OSAKA JOURNAL OF MATHEMATICS | 2015年 / 52卷 / 01期
基金：
加拿大自然科学与工程研究理事会;
关键词：
ALGEBRAIC STACKS; ORBIFOLDS; COHOMOLOGY;
D O I：
暂无
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
This work characterizes global quotient stacks-smooth stacks associated to a finite group acting on a manifold-among smooth quotient stacks [M/G], where M is a smooth manifold equipped with a smooth proper action by a Lie group G. The characterization is described in terms of the action of the connected component G(0) on M and is related to (stacky) fundamental group and covering theory. This characterization is then applied to smooth toric Deligne-Mumford stacks, and global quotients among toric DM stacks are then characterized in terms of their associated combinatorial data of stacky fans.
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页码：237 / 269
页数：33
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