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

Antoine Chambert-Loir; Yuri Tschinkel

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

Number Theory 2007-05-23 v2 Algebraic Geometry

Authors: Antoine Chambert-Loir , Yuri Tschinkel

Abstract

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.)

Keywords

rational points bounded height equivariant compactifications affine space asymptotic formulas

Cite

@article{arxiv.math/0005015,
  title  = {On the distribution of points of bounded height on equivariant compactifications of vector groups},
  author = {Antoine Chambert-Loir and Yuri Tschinkel},
  journal= {arXiv preprint arXiv:math/0005015},
  year   = {2007}
}

Comments

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

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