Vol. 6, No. 1, 2012

Download this article
Download this article For screen
For printing
Recent Issues

Volume 14
Issue 7, 1669–1999
Issue 6, 1331–1667
Issue 5, 1055–1329
Issue 4, 815–1054
Issue 3, 545–813
Issue 2, 275–544
Issue 1, 1–274

Volume 13, 10 issues

Volume 12, 10 issues

Volume 11, 10 issues

Volume 10, 10 issues

Volume 9, 10 issues

Volume 8, 10 issues

Volume 7, 10 issues

Volume 6, 8 issues

Volume 5, 8 issues

Volume 4, 8 issues

Volume 3, 8 issues

Volume 2, 8 issues

Volume 1, 4 issues

The Journal
About the Journal
Editorial Board
Subscriptions
Editors' Interests
Submission Guidelines
Submission Form
Editorial Login
Ethics Statement
ISSN: 1944-7833 (e-only)
ISSN: 1937-0652 (print)
Author Index
To Appear
 
Other MSP Journals
The Chevalley–Shephard–Todd theorem for finite linearly reductive group schemes

Matthew Satriano

Vol. 6 (2012), No. 1, 1–26
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 étale-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
Chevalley–Shephard–Todd, pseudoreflection, linearly reductive, tame stacks
Mathematical Subject Classification 2000
Primary: 14A20
Secondary: 14L15
Milestones
Received: 20 April 2010
Revised: 26 December 2010
Accepted: 24 January 2011
Published: 15 June 2012
Authors
Matthew Satriano
Department of Mathematics
University of Michigan
530 Church St.
Ann Arbor, MI 48109-1043
United States
http://www-personal.umich.edu/~satriano/