4 papers · 1 filter
Théorèmes d'algébrisation en géométrie diophantienne (Algebricity theorems in diophantine geometry)
Antoine Chambert-Loir
In a recent paper, J.-B. Bost establishes a criterion for certain ``formal subvarieties'' of algebraic varieties to be algebraic. His theorem unifies and generalizes results of Chu…
On the distribution of points of bounded height on equivariant compactifications of vector groups
Antoine Chambert-Loir, Yuri Tschinkel
We prove asymptotic formulas for the number of rational points of bounded height on smooth equivariant compactifications of the affine space. (Nous établissons un développement asy…
Points of bounded height on equivariant compactifications of vector groups, II
Antoine Chambert-Loir, Yuri Tschinkel
We prove asymptotic formulas for the number of rational points of bounded height on certain blow-ups of the projective space.
Points of bounded height on equivariant compactifications of vector groups, I
Antoine Chambert-Loir, Yuri Tschinkel
We prove asymptotic formulas for the number of rational points of bounded height on certain equivariant compactifications of the affine plane.