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.

引用

页码：237 / 269

页数：33