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Deformation theory of algebraic stacks

Compositio Mathematica (2005) 141(1) 19-34
DOI: 10.1112/S0010437X04000806
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Abstract

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. © Foundation Compositio Mathematica 2005.

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Aoki, M. (2005). Deformation theory of algebraic stacks. Compositio Mathematica, 141(1), 19–34. https://doi.org/10.1112/S0010437X04000806

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