Inventiones mathematicae

, Volume 148, Issue 2, pp 421-452

On the distribution of points of bounded height on equivariant compactifications of vector groups

  • Antoine Chambert-LoirAffiliated withÉcole polytechnique, F-91128, Palaiseau Cedex, France (e-mail: chambert@math.polytechnique.fr)
  • , Yuri TschinkelAffiliated withDepartment of Mathematics, Princeton University, Princeton, NJ 08544-1000, USA (e-mail: ytschink@math.princeton.edu)

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Abstract.

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

Mathematical Subject Classification (2000): 11G50 (11G35, 14G05)