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

Antoine Chambert-Loir, Yuri Tschinkel

Mathematics

Research output: Contribution to journal › Article › peer-review

Abstract

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

Original language	English (US)
Pages (from-to)	65-93
Number of pages	29
Journal	Compositio Mathematica
Volume	124
Issue number	1
DOIs	https://doi.org/10.1023/A:1002431622732
State	Published - 2000

Keywords

Equivariant compactification
Height zeta function
Manin's conjecture
Poisson formula
Rational points

ASJC Scopus subject areas

Algebra and Number Theory

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10.1023/A:1002431622732

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title = "Points of Bounded Height on Equivariant Compactifications of Vector Groups, I",

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

keywords = "Equivariant compactification, Height zeta function, Manin's conjecture, Poisson formula, Rational points",

author = "Antoine Chambert-Loir and Yuri Tschinkel",

note = "Funding Information: The work of the second author was partially supported by the NSA.",

year = "2000",

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language = "English (US)",

volume = "124",

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AU - Chambert-Loir, Antoine

AU - Tschinkel, Yuri

N1 - Funding Information: The work of the second author was partially supported by the NSA.

PY - 2000

Y1 - 2000

N2 - . 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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KW - Equivariant compactification

KW - Height zeta function

KW - Manin's conjecture

KW - Poisson formula

KW - Rational points

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

Abstract

Keywords

ASJC Scopus subject areas

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