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arxiv: math/0005015 · v2 · submitted 2000-05-02 · 🧮 math.NT · math.AG

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

classification 🧮 math.NT math.AG
keywords compactificationspointsaffineboundedequivariantheightasymptoticasymptotique
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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.)

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