The Chevalley-Shephard-Todd Theorem for Finite Linearly Reductive Group Schemes

Details The Chevalley-Shephard-Todd Theorem for Finite Linearly Reductive Group Schemes The Chevalley-Shephard-Todd Theorem for Finite Linearly Reductive Group Schemes

2009-11-11

arxiv.org/abs/0911.2058v1

Mathematics

Algebraic Geometry

Scientific paper

We generalize the classical Chevalley-Shephard-Todd theorem to the case of finite linearly reductive group schemes. As an application, we prove that every scheme X which is etale locally the quotient of a smooth scheme by a finite linearly reductive group scheme is the coarse space of a smooth tame Artin stack (as defined by Abramovich, Olsson, and Vistoli) whose stacky structure is supported on the singular locus of X.

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