English

Le probleme de Bogomolov effectif sur les varietes abeliennes

Number Theory 2008-05-20 v1 Algebraic Geometry

Abstract

We give a new lower bound for the essential minimum of subvarieties of abelian varieties with small codimension, under a conjecture about ordinary primes in abelian varieties. This lower bound is already known in the toric case since the work of Amoroso and David. It is the best expected, "up to an epsilon", in the degree of the subvariety.

Keywords

Cite

@article{arxiv.0805.2663,
  title  = {Le probleme de Bogomolov effectif sur les varietes abeliennes},
  author = {Aurelien Galateau},
  journal= {arXiv preprint arXiv:0805.2663},
  year   = {2008}
}

Comments

55 pages