Vol. 6, No. 1, 2012

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

Volume 15
Issue 6, 1343–1592
Issue 5, 1077–1342
Issue 4, 821–1076
Issue 3, 569–820
Issue 2, 309–567
Issue 1, 1–308

Volume 14, 10 issues

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
Editors’ Interests
Subscriptions
 
Submission Guidelines
Submission Form
Policies for Authors
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/