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
Iwanari, Isamu1
1 Research Institute for Mathematical Sciences, Kyoto University, Kyoto 606-8502, Japan
Comptes Rendus. Mathématique, Tome 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.

Reçu le :
Accepté le :
Publié le :
DOI : 10.1016/j.crma.2010.09.022

Iwanari, Isamu 1

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

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