Comptes Rendus
Algebraic Geometry
Note on local structure of Artin stacks
Comptes Rendus. Mathématique, Volume 348 (2010) no. 19-20, pp. 1107-1109.

In this Note we show that an Artin stack with finite inertia stack is étale locally isormorphic to the quotient of an affine scheme by an action of a general linear group.

Dans cette Note, nous montrons que tout champ algébrique dont l'inertie est finie, est étale-localement isomorphe au quotient d'un schéma affine par une action du groupe général linéaire.

Received:
Accepted:
Published online:
DOI: 10.1016/j.crma.2010.09.022

Isamu Iwanari 1

1 Research Institute for Mathematical Sciences, Kyoto University, Kyoto 606-8502, Japan
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Isamu Iwanari. Note on local structure of Artin stacks. Comptes Rendus. Mathématique, Volume 348 (2010) no. 19-20, pp. 1107-1109. doi : 10.1016/j.crma.2010.09.022. https://comptes-rendus.academie-sciences.fr/mathematique/articles/10.1016/j.crma.2010.09.022/

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