Points de petite hauteur sur les varietes semi-abeliennes
Number Theory
2007-05-23 v1 Algebraic Geometry
Abstract
We extend to the case of semi-abelian varieties the statements of various variants of the conjecture alla Bogomolov about the non-density of small points of small height in abelian varieties. Inspired by recent work of Ullmo, Zhang and Bilu, we then prove these conjectures when the semi-abelian variety is almost split. The proof uses Arakelov geometry and equirepartition arguments.
Cite
@article{arxiv.math/9907049,
title = {Points de petite hauteur sur les varietes semi-abeliennes},
author = {Antoine Chambert-Loir},
journal= {arXiv preprint arXiv:math/9907049},
year = {2007}
}
Comments
(Points of small height on semi-abelian varieties) approx. 38 pages