English

Alcoves et p-rang des vari\'et\'es ab\'eliennes

Algebraic Geometry 2007-05-23 v1 Group Theory

Abstract

We study the relation between the pp-rank of abelian varieties in characteristic pp and the Kottwitz-Rapoport's stratification of the special fiber modulo pp of the moduli space of principally polarized abelian varieties with Iwahori type level structure on pp. In particular, the density of the ordinary locus in that special fiber is proved.

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Cite

@article{arxiv.math/0107223,
  title  = {Alcoves et p-rang des vari\'et\'es ab\'eliennes},
  author = {B. C. Ngô and A. Genestier},
  journal= {arXiv preprint arXiv:math/0107223},
  year   = {2007}
}

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in french

R2 v1 2026-07-22T16:39:48.822Z