Normalization of closed Ekedahl-Oort strata

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.

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

Cited by in corpus (2)

• Tautological rings of Shimura varieties and cycle classes of Ekedahl-Oort strata
• Automorphic vector bundles on the stack of $G$-zips