Remarks on Ekedahl-Oort stratifications

Abstract

This short paper is a continuation of the author's Ph.D thesis, where Ekedahl-Oort strata are defined and studied for Shimura varieties of Hodge type. The main results here are as follows. 1. The Ekedahl-Oort stratification is independent of the choices of symplectic embeddings. 2. Under certain reasonable assumptions, there is certain functoriality for Ekedahl-Oort stratifications with respect to morphisms of Shimura varieties.

16 pages

References in corpus (1)

• Ekedahl-Oort strata for good reductions of Shimura varieties of Hodge type

Cited by in corpus (3)

• Stratifications and foliations for good reductions of Shimura varieties of Hodge type
• Generalized mu-ordinary Hasse invariants
• Ekedahl-Oort strata for good reductions of Shimura varieties of Hodge type