Alcoves et p-rang des variétés abéliennes

2001/07/31 by B. C. Ngô, Ngô, B. C., A. Genestier +2 · 1 citation
Mathematics · #Advanced Algebra and Geometry #Algebraic Geometry (math.AG) #Algebraic Geometry and Number Theory #FOS: Mathematics #Group Theory (math.GR) #Meromorphic and Entire Functions #math.AG #math.GR

paper · pdf · doi:10.48550/arxiv.math/0107223

in french

arxiv created 2001/07/31 · openalex publication_date 2001/07/31 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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.

Cited by

• The Jordan-Hoelder series for nearby cycles on some Shimura varieties and affine flag varieties

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