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

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Inventiones mathematicae Aims and scope

Abstract.

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

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Authors and Affiliations

  1. École polytechnique, F-91128, Palaiseau Cedex, France (e-mail: chambert@math.polytechnique.fr), , , , , , FR

    Antoine Chambert-Loir

  2. Department of Mathematics, Princeton University, Princeton, NJ 08544-1000, USA (e-mail: ytschink@math.princeton.edu), , , , , , US

    Yuri Tschinkel

Authors
  1. Antoine Chambert-Loir
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  2. Yuri Tschinkel
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Oblatum 24-IV-2001 & 22-X-2001¶Published online: 1 February 2002

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Chambert-Loir, A., Tschinkel, Y. On the distribution of points of bounded height on equivariant compactifications of vector groups. Invent. math. 148, 421–452 (2002). https://doi.org/10.1007/s002220100200

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  • DOI: https://doi.org/10.1007/s002220100200

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