Normalization of closed Ekedahl-Oort strata
Algebraic Geometry
2017-10-27 v3 Group Theory
Abstract
We apply our theory of partial flag spaces developed in previous articles to study a group-theoretical generalization of the canonical filtration of a truncated Barsotti-Tate group of level 1. As an application, we determine explicitly the normalization of the Zariski closures of Ekedahl-Oort strata of Shimura varieties of Hodge-type as certain closed coarse strata in the associated partial flag spaces.
Cite
@article{arxiv.1703.05197,
title = {Normalization of closed Ekedahl-Oort strata},
author = {Jean-Stefan Koskivirta},
journal= {arXiv preprint arXiv:1703.05197},
year = {2017}
}
Comments
To appear in Canadian Mathematical Bulletin. We corrected a mistake about the normalization. One has to take the Stein factorization to obtain this normalization. We filled a gap in the proof of a Lemma