Serre–Tate theory for moduli spaces of PEL type

Ben Moonen

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Displaying similar documents to “Serre–Tate theory for moduli spaces of PEL type”

Ordinariness in good reductions of Shimura varieties of PEL-type

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We study the Ekedahl-Oort stratification on moduli spaces of PEL type. The strata are indexed by the classes in a Weyl group modulo a subgroup, and each class has a distinguished representative of minimal length. The main result of this paper is that the dimension of a stratum equals the length of the corresponding Weyl group element. We also discuss some explicit examples.

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