Points de petite hauteur sur les varietes semi-abeliennes

Thumbnail Image

Date

Authors

Journal Title

Journal ISSN

Volume Title

Publisher

Abstract

Description

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.
(Points of small height on semi-abelian varieties) approx. 38 pages

Keywords

Number Theory, Algebraic Geometry, 11G10, 14G40, 14K

Citation

URI

http://salesiana.dossiersoluciones.com/handle/123456789/78791

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/9907049
 http://arxiv.org/abs/math/9907049

Collections

arXiv