Displaying similar documents to “Characterization of non-degenerate plane curve singularities.”

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. ...