Points de petite hauteur sur les varietes semi-abeliennes

Details Points de petite hauteur sur les varietes semi-abeliennes Points de petite hauteur sur les varietes semi-abeliennes

1999-07-08

arxiv.org/abs/math/9907049v1

Mathematics

Number Theory

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

Scientific paper

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.

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