Ekedahl-Oort strata in the supersingular locus

• Autores: Maarten Hoeve
• Localización: Journal of the London Mathematical Society, ISSN 0024-6107, Vol. 81, Nº 1, 2010, págs. 129-141
• Idioma: inglés
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• Resumen

  • 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.