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.
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Isamu Iwanari 1
@article{CRMATH_2010__348_19-20_1107_0, author = {Isamu Iwanari}, title = {Note on local structure of {Artin} stacks}, journal = {Comptes Rendus. Math\'ematique}, pages = {1107--1109}, publisher = {Elsevier}, volume = {348}, number = {19-20}, year = {2010}, doi = {10.1016/j.crma.2010.09.022}, language = {en}, }
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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