Codimensions of Newton Strata for SL_3 in the Iwahori Case

Details Codimensions of Newton Strata for SL_3 in the Iwahori Case Codimensions of Newton Strata for SL_3 in the Iwahori Case

2007-11-24

arxiv.org/abs/0711.3820v2

Mathematics

Algebraic Geometry

37 pages, 1 figure; introduction and main theorem expanded, corrected typos, updated references; to appear in Math. Zeit

Scientific paper

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).

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