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Mathematics, Algebraic Geometry
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.