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A dimension formula for Ekedahl-Oort strata

Ben Moonen

math.AGarXiv:math/0208161

Abstract

We study the Ekedahl-Oort stratification on moduli spaces of PEL type. The strata are indexed by cosets in a Weyl group. 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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