Codimensions of Newton Strata for SL_3 in the Iwahori Case
arXiv:0711.3820
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).
arXiv comment37 pages, 1 figure; introduction and main theorem expanded, corrected typos, updated references; to appear in Math. Zeit