Approximation diophantienne sur les variétés semi-abéliennes

DOI10.1016/S0012-9593(03)00007-7zbMath1081.11053OpenAlexW2014709814MaRDI QIDQ4418869

Gaël Rémond

Publication date: 30 July 2003

Published in: Annales Scientifiques de l’École Normale Supérieure (Search for Journal in Brave)

Full work available at URL: http://www.numdam.org/item?id=ASENS_2003_4_36_2_191_0

zbMATH Keywords

semi-abelian varietiesBogomolov-Lang conjecture

Mathematics Subject Classification ID

Abelian varieties of dimension (> 1) (11G10) Heights (11G50) Arithmetic ground fields for abelian varieties (14K15) Results involving abelian varieties (11J95)

Related Items (9)

Points of small height on semiabelian varieties ⋮ Small points and the Bogomolov conjecture ⋮ Intersecting subvarieties of \({G_m^n}\) with algebraic subgroups ⋮ Semi-effective height bound for the Mordell-Lang problem in an abelian variety ⋮ A Bogomolov property for curves modulo algebraic subgroups ⋮ Inégalité de Vojta généralisée ⋮ Semi-effective bound on the height for the Mordell-Lang problem in a torus ⋮ Generic bound for the Mordell-Lang problem ⋮ The bounded height conjecture for semiabelian varieties

Cites Work

• Mordell-Lang plus Bogomolov
• Distribution of almost division points
• Integral points on subvarieties of semiabelian varieties. I
• Heights of Projective Varieties and Positive Green Forms
• Sous-variétés de torsion des variétés semi-abéliennes
• Counting in a conjecture of Lang
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