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

Antoine Chambert-Loir, Yuri Tschinkel

Research output: Contribution to journalArticle

Abstract

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

Original languageEnglish (US)
Pages (from-to)65-93
Number of pages29
JournalCompositio Mathematica
Volume124
Issue number1
StatePublished - 2000

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Affine plane
Rational Points
Compactification
Asymptotic Formula
Equivariant

Keywords

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

ASJC Scopus subject areas

  • Algebra and Number Theory

Cite this

Points of Bounded Height on Equivariant Compactifications of Vector Groups, I. / Chambert-Loir, Antoine; Tschinkel, Yuri.

In: Compositio Mathematica, Vol. 124, No. 1, 2000, p. 65-93.

Research output: Contribution to journalArticle

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