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Points de petite hauteur sur les varietes semi-abeliennes

Antoine Chambert-Loir
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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.

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BibTeXRIS

Antoine Chambert-Loir. 1999-07-08. Points de petite hauteur sur les varietes semi-abeliennes. https://arxiv.org/abs/math/9907049

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