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Representation Theory

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On the connectedness of Deligne-Lusztig varieties

Author: Ulrich Görtz
Journal: Represent. Theory 13 (2009), 1-7
MSC (2000): Primary 14L35; Secondary 20G40
Published electronically: January 21, 2009
MathSciNet review: 2471197
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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

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.