Integral points of bounded height on partial equivariant compactifications of vector groups

Antoine Chambert-Loir (1) , Yuri Tschinkel

1 IRMAR - Institut de Recherche Mathématique de Rennes

We establish asymptotic formulas for the number of integral points of bounded height on partial equivariant compactifications of vector groups.

Domaines: Théorie des nombres [math.NT]; Géométrie algébrique [math.AG]

Antoine Chambert-Loir, Yuri Tschinkel. Integral points of bounded height on partial equivariant compactifications of vector groups. Duke Mathematical Journal, 2012, 161 (15), pp.2799-2836. ⟨10.1215/00127094-1813638⟩. ⟨hal-00455578⟩