Hostname: page-component-cd9895bd7-gvvz8 Total loading time: 0 Render date: 2024-12-25T05:22:33.851Z Has data issue: false hasContentIssue false
  • English
  • Français

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, [email protected]
Rights & Permissions [Opens in a new window]

Abstract

Core share and HTML view are not available for this content. However, as you have access to this content, a full PDF is available via the ‘Save PDF’ action button.

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