Alcôves et $p$-rang des variétés abéliennes
Alcôves et $p$-rang des variétés abéliennes
We study the relation between the p-rank of abelian varieties in characteristic p and the Kottwitz-Rapoport’s stratification of the special fiber modulo p of the moduli space of principally polarized abelian varieties with Iwahori type level structure on p. In particular, the density of the ordinary locus in that special …