The Chevalley-Shephard-Todd Theorem for Finite Linearly Reductive Group Schemes
Algebraic Geometry
2012-06-25 v2
Abstract
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.
Keywords
Cite
@article{arxiv.0911.2058,
title = {The Chevalley-Shephard-Todd Theorem for Finite Linearly Reductive Group Schemes},
author = {Matthew Satriano},
journal= {arXiv preprint arXiv:0911.2058},
year = {2012}
}
Comments
Final version, to appear in Algebra & Number Theory