Currently displaying 1 – 1 of 1

Showing per page

Order by Relevance | Title | Year of publication

Generic Newton polygons of Ekedahl-Oort strata: Oort’s conjecture

Shushi Harashita — 2010

Annales de l’institut Fourier

We study the moduli space of principally polarized abelian varieties in positive characteristic. In this paper we determine the Newton polygon of any generic point of each Ekedahl-Oort stratum, by proving Oort’s conjecture on intersections of Newton polygon strata and Ekedahl-Oort strata. This result tells us a combinatorial algorithm determining the optimal upper bound of the Newton polygons of principally polarized abelian varieties with a given isomorphism type of p -kernel.

Page 1

Download Results (CSV)