Comptes Rendus
no. 19-20
Algebraic Geometry
Note on local structure of Artin stacks
[Note sur la structure locale de champs de Artin]

Présenté par : Christophe Soulé

Isamu Iwanari1
1 Research Institute for Mathematical Sciences, Kyoto University, Kyoto 606-8502, Japan
Comptes Rendus. Mathématique, Volume 348 (2010) no. 19-20, pp. 1107-1109.

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.

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.

Reçu le :
Accepté le :
Publié le :
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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