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Alcoves et p-rang des variétés abéliennes

B. C. Ngô·A. Genestier
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Abstract

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 fiber is proved.

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BibTeXRIS

B. C. Ngô, A. Genestier. 2001-07-31. Alcoves et p-rang des variétés abéliennes. https://arxiv.org/abs/math/0107223

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