1999/07/08 by Antoine Chambert-Loir, Chambert-Loir, Antoine · 1 citation
Agricultural and Biological Sciences · Mathematics · #11G10 #14G40 #14K #Agriculture and Rural Development Research #Algebraic Geometry (math.AG) #FOS: Mathematics #Number Theory (math.NT) #math.AG #math.NT #msc:11G10 #msc:14G40 #msc:14K
paper · pdf · doi:10.48550/arxiv.math/9907049
(Points of small height on semi-abelian varieties) approx. 38 pages
arxiv created 1999/07/08 · openalex publication_date 1999/07/08 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
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.