Resumen de Ekedahl-Oort strata in the supersingular locus

Maarten Hoeve

• The Ekedahl�Oort stratification is a stratification of the moduli space of abelian varieties in characteristic p > 0.We give a description of the individual Ekedahl�Oort strata contained in the supersingular locus in terms of Deligne�Lusztig varieties, refining a result of Harashita. We apply this description to calculate the number of components of a supersingular Ekedahl�Oort stratum.