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

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

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Bibliographic Details
Published inCompositio mathematica Vol. 124; no. 1; pp. 65 - 93
Main Authors Chambert-Loir, Antoine, Tschinkel, Yuri
Format Journal Article
LanguageEnglish
Published London, UK London Mathematical Society 01.10.2000
Subjects
Poisson formula
height zeta function
Manin's conjecture
rational points
equivariant compactification
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Summary:We prove asymptotic formulas for the number of rational points of bounded height on certain equivariant compactifications of the affine plane.
ISSN:0010-437X
1570-5846
DOI:10.1023/A:1002431622732