Deformation of a smooth Deligne-Mumford stack via differential graded Lie algebra

被引：1

作者：

Nagai, Yasunari ^{[1
]}

Sato, Fumitoshi ^{[1
]}

机构：

[1] KIAS, Seoul 130722, South Korea

来源：

JOURNAL OF ALGEBRA | 2008年 / 320卷 / 09期

关键词：

Deformation theory; Deligne-Mumford stack;

D O I：

10.1016/j.jalgebra.2008.08.020

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

For a smooth Deligne-Mumford stack over C, we define its associated Kodaira-Spencer differential graded Lie algebra and show that the deformation functor of the stack is isomorphic to the deformation functor of the Kodaira-Spencer algebra if the stack is proper over C. (C) 2008 Elsevier Inc. All rights reserved.

引用

页码：3481 / 3492

页数：12

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