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Mathematische Zeitschrift

, Volume 263, Issue 3, pp 499–540 | Cite as

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

  • E. T. Beazley
Article

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).

Keywords

Newton polygon Newton stratification Isocrystal Affine Bruhat decomposition Affine Deligne–Lusztig variety Frobenius-linear characteristic polynomial 

Mathematics Subject Classification (2000)

Primary 20G25 Secondary 14L05 

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Copyright information

© Springer-Verlag 2008

Authors and Affiliations

  1. 1.Department of MathematicsUniversity of ChicagoChicagoUSA

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