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

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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).

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  1. Department of Mathematics, University of Chicago, 5734 S. University Ave., Chicago, IL, 60637, USA

    E. T. Beazley

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Beazley, E.T. Codimensions of Newton strata for SL 3(F) in the Iwahori case. Math. Z. 263, 499–540 (2009). https://doi.org/10.1007/s00209-008-0429-z

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