On the connectedness of Deligne-Lusztig varieties
Author:
Ulrich Görtz
Journal:
Represent. Theory 13 (2009), 1-7
MSC (2000):
Primary 14L35; Secondary 20G40
DOI:
https://doi.org/10.1090/S1088-4165-09-00344-6
Published electronically:
January 21, 2009
MathSciNet review:
2471197
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Abstract | References | Similar Articles | Additional Information
Abstract: We give a criterion which determines when a union of one-dimensional Deligne-Lusztig varieties has a connected closure. We obtain a new, short proof of the connectedness criterion for Deligne-Lusztig varieties due to Lusztig.
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Additional Information
Ulrich Görtz
Affiliation:
Mathematisches Institut, Beringstr. 1, 53115 Bonn, Germany
Email:
ugoertz@math.uni-bonn.de
Received by editor(s):
September 19, 2008
Received by editor(s) in revised form:
December 8, 2008
Published electronically:
January 21, 2009
Additional Notes:
The author was partially supported by a Heisenberg grant and by the SFB/TR 45 “Periods, Moduli Spaces and Arithmetic of Algebraic Varieties” of the DFG (German Research Foundation)
Article copyright:
© Copyright 2009
American Mathematical Society
The copyright for this article reverts to public domain 28 years after publication.