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Ekedahl-Oort Strata for Good Reductions of Shimura Varieties of Hodge Type

Ekedahl-Oort Strata for Good Reductions of Shimura Varieties of Hodge Type

Abstract For a Shimura variety of Hodge type with hyperspecial level structure at a prime p , Vasiu and Kisin constructed a smooth integral model (namely the integral canonical model) uniquely determined by a certain extension property. We define and study the Ekedahl-Oort stratifications on the special fibers of those …