Points of Bounded Height on Equivariant Compactifications of Vector Groups, I

Antoine Chambert-Loir; Yuri Tschinkel

doi:10.1023/A:1002431622732

Points of Bounded Height on Equivariant Compactifications of Vector Groups, I

Published online by Cambridge University Press: 04 December 2007

Antoine Chambert-Loir and

Yuri Tschinkel

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Antoine Chambert-Loir: Affiliation:
Institut de mathématiques de Jussieu, Boite 247, 4, place Jussieu, F-75252 Paris Cedex 05, France. E-mail: chambert@math.jussieu.fr
Yuri Tschinkel: Affiliation:
Department of Mathematics, U.I.C., Chicago, IL 60607-7045, U.S.A. E-mail: yuri@math.uic.edu

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Abstract

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We prove asymptotic formulas for the number of rational points of bounded height on certain equivariant compactifications of the affine plane.

Keywords

height zeta function rational points equivariant compactification Poisson formula Manin's conjecture

Type: Research Article
Information: Compositio Mathematica , Volume 124 , Issue 1 , October 2000 , pp. 65 - 93

DOI: https://doi.org/10.1023/A:1002431622732 [Opens in a new window]

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Points of Bounded Height on Equivariant Compactifications of Vector Groups, I

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