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

Similarity:

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. ...