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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
Antoine Chambert-Loir
Affiliation:
Institut de mathématiques de Jussieu, Boite 247, 4, place Jussieu, F-75252 Paris Cedex 05, France. E-mail: [email protected]
Yuri Tschinkel
Affiliation:
Department of Mathematics, U.I.C., Chicago, IL 60607-7045, U.S.A. E-mail: [email protected]
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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 functionrational pointsequivariant compactificationPoisson formulaManin's conjecture
Type
Research Article
Information
Compositio Mathematica , Volume 124 , Issue 1 , October 2000 , pp. 65 - 93
Copyright
© 2000 Kluwer Academic Publishers