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Deformation theory of algebraic stacks

Published online by Cambridge University Press:  01 December 2004

Masao Aoki
Masao Aoki
Affiliation:
Department of Mathematics, Kyoto University, Sakyo-ku, Kyoto 606-8502, Japanaoki@math.kyoto-u.ac.jp
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Abstract

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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.

Keywords

algebraic stacksdeformation theorycotangent complex14A2014B12
Type
Research Article
Information
Compositio Mathematica , Volume 141 , Issue 1 , January 2005 , pp. 19 - 34
Copyright
Foundation Compositio Mathematica 2005