The Ekedahl-Oort Stratification and the Semi-Module Stratification
Algebraic Geometry
2023-09-08 v1 Number Theory
Representation Theory
Abstract
In this paper we compare the -stratification (or the semi-module stratification) and the Ekedahl-Oort stratification of affine Deligne-Lusztig varieties in the superbasic case. In particular, we classify the cases where the -stratification gives a refinement of the Ekedahl-Oort stratification, which include many interesting cases such that the affine Deligne-Lusztig variety admits a simple geometric structure.
Cite
@article{arxiv.2309.03371,
title = {The Ekedahl-Oort Stratification and the Semi-Module Stratification},
author = {Ryosuke Shimada},
journal= {arXiv preprint arXiv:2309.03371},
year = {2023}
}
Comments
44 pages