Get 20M+ Full-Text Papers For Less Than $1.50/day. Start a 14-Day Trial for You or Your Team.

Learn More →

Codimensions of Newton strata for SL 3(F) in the Iwahori case

Codimensions of Newton strata for SL 3(F) in the Iwahori case We study the Newton stratification on SL 3(F), where F is a Laurent power series field. We provide a formula for the codimensions of the Newton strata inside each component of the affine Bruhat decomposition on SL 3(F). These calculations are related to the study of certain affine Deligne–Lusztig varieties. In particular, we describe a method for determining which of these varieties is non-empty in the case of SL 3(F). http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Mathematische Zeitschrift Springer Journals

Codimensions of Newton strata for SL 3(F) in the Iwahori case

Mathematische Zeitschrift , Volume 263 (3) – Oct 10, 2008

Loading next page...
 
/lp/springer-journals/codimensions-of-newton-strata-for-sl-3-f-in-the-iwahori-case-cutWRIm0kv

References (42)

Publisher
Springer Journals
Copyright
Copyright © 2008 by Springer-Verlag
Subject
Mathematics; Mathematics, general
ISSN
0025-5874
eISSN
1432-1823
DOI
10.1007/s00209-008-0429-z
Publisher site
See Article on Publisher Site

Abstract

We study the Newton stratification on SL 3(F), where F is a Laurent power series field. We provide a formula for the codimensions of the Newton strata inside each component of the affine Bruhat decomposition on SL 3(F). These calculations are related to the study of certain affine Deligne–Lusztig varieties. In particular, we describe a method for determining which of these varieties is non-empty in the case of SL 3(F).

Journal

Mathematische ZeitschriftSpringer Journals

Published: Oct 10, 2008

There are no references for this article.