Deligne-Lusztig varieties and basic EKOR strata
Number Theory
2020-01-01 v1 Algebraic Geometry
Abstract
Under the axiom of He and Rapoport for the stratifications of Shimura varieties, we explain a result of G\"{o}rtz, He and Nie that the EKOR strata contained in the basic loci can be described as a disjoint union of Deligne-Lusztig varieties. In the special case of Siegel modular varieties, we compare their descriptions to that of G\"{o}rtz and Yu for the supersingular Kottwitz-Rapoport strata and to the descriptions of Harashita, Hoeve for the supersingular Ekedahl-Oort strata.
Keywords
Cite
@article{arxiv.1912.12312,
title = {Deligne-Lusztig varieties and basic EKOR strata},
author = {Haining Wang},
journal= {arXiv preprint arXiv:1912.12312},
year = {2020}
}