Minimal Newton strata in Iwahori double cosets
Algebraic Geometry
2019-11-27 v2
Abstract
The set of Newton strata in a given Iwahori double coset in the loop group of a reductive group G is indexed by a finite subset of the set B(G) of Frobenius-conjugacy classes. For unramified we show that it has a unique minimal element and determine this element. Under a regularity assumption we also compute the dimension of the corresponding Newton stratum. We derive corresponding results for affine Deligne-Lusztig varieties.
Keywords
Cite
@article{arxiv.1903.02038,
title = {Minimal Newton strata in Iwahori double cosets},
author = {Eva Viehmann},
journal= {arXiv preprint arXiv:1903.02038},
year = {2019}
}
Comments
14 pages, proof of main theorem considerably simplified; contains an appendix not included in the corresponding publication