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Ekedahl-Oort strata meeting the supersingular locus

Muller, Joseph
arXiv (OAI Expanded) · Papers
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14g35algebraic-geometrynumber-theory
We give an explicit combinatorial criterion for an Ekedahl-Oort (EO) stratum in the moduli stack of principally polarized abelian varieties of dimension $g$ in characteristic $p > 2$ to meet the supersingular locus. The criterion is obtained by translating a non-emptiness criterion for basic affine
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