REVIEW 2 cited by
The \mu-ordinary locus for Shimura varieties of Hodge type
Not yet reviewed by Pith; the record is open.
This paper has not been read by Pith yet. Machine review is queued; the pith claim, tier, and objections will appear here once it completes.
SPECIMEN: schema-true, not a live event
T0 review · schema-true
One-sentence machine reading of the paper's core claim.
pith:XXXXXXXX · record.json · timestamp
read the original abstract
We review the Newton stratification and Ekedahl-Oort stratification on the special fiber of a smooth integral model for a Shimura variety of Hodge type at a prime of good reduction. We show that the \mu-ordinary locus coincides with the generic Ekedahl-Oort stratum, and that for any two geometric points in the \mu-ordinary locus there is an isomorphism of the attached Dieudonne modules with additional structure. As a consequence, we proof that the \mu-ordinary locus is open and dense, thus generalizing the results which were already known in the PEL-case. To prove our results we provide a method which allows to reduce the equality of strata to a group theoretic statement.
Forward citations
Cited by 2 Pith papers
-
$p$-adic Maass--Shimura operators on $\mu$-ordinary Igusa varieties
The authors construct a canonical formal group action on μ-ordinary Igusa varieties for Hodge type Shimura data that integrates Maass-Shimura operators and, via p-adic Fourier theory, yields a unified algebra action e...
-
Ekedahl-Oort strata under natural embeddings of orthogonal and unitary Shimura varieties
Determines the Ekedahl-Oort strata containing images under natural embeddings of orthogonal and unitary Shimura varieties and computes their discrete invariants.
Discussion (0). Continue with ORCID to comment.