Serre–Tate theory for moduli spaces of PEL type
Ben Moonen (2004)
Annales scientifiques de l'École Normale Supérieure
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Serre–Tate theory for moduli spaces of PEL type
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A dimension formula for Ekedahl-Oort strata
Ben Moonen (2004)
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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.