arXiv:math/0005015 Abstract

arXiv:math/0005015 [math.NT]Abstract References Reviews Resources

On the distribution of points of bounded height on equivariant compactifications of vector groups

Published 2000-05-02, updated 2001-04-23Version 2

We prove asymptotic formulas for the number of rational points of bounded height on smooth equivariant compactifications of the affine space. (Nous \'etablissons un d\'eveloppement asymptotique du nombre de points rationnels de hauteur born\'ee sur les compactifications \'equivariantes lisses de l'espace affine.)

Comments: The theorem proven is a bit more general than in version 1. Clarification and reorganization of some parts of the paper

Categories: math.NT, math.AG

Subjects: 11G50, 11G35, 14G05

Keywords: bounded height, vector groups, distribution, compactifications equivariantes lisses, hauteur bornee sur

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