Codimensions of Newton Strata for SL_3 in the Iwahori Case
Algebraic Geometry
2016-06-29 v2
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
Cite
@article{arxiv.0711.3820,
title = {Codimensions of Newton Strata for SL_3 in the Iwahori Case},
author = {E. T. Milićević},
journal= {arXiv preprint arXiv:0711.3820},
year = {2016}
}
Comments
37 pages, 1 figure; introduction and main theorem expanded, corrected typos, updated references; to appear in Math. Zeit