Deformation theory of algebraic stacks

被引：12

作者：

Aoki, M ^{[1
]}

机构：

[1] Kyoto Univ, Dept Mat Sci, Sakyo Ku, Kyoto 6068502, Japan

来源：

COMPOSITIO MATHEMATICA | 2005年 / 141卷 / 01期

关键词：

algebraic stacks; deformation theory; cotangent complex;

D O I：

10.1112/S0010437X04000806

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We study the deformation theory of algebraic stacks. The 2-category of deformations using Ext groups of the cotangent complex is described. Then we show that an algebraic stack has a versal deformation under certain conditions.

引用

页码：19 / 34

页数：16

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