{
  "id": "math/0005015",
  "version": "v2",
  "published": "2000-05-02T12:18:41.000Z",
  "updated": "2001-04-23T23:20:52.000Z",
  "title": "On the distribution of points of bounded height on equivariant compactifications of vector groups",
  "authors": [
    "Antoine Chambert-Loir",
    "Yuri Tschinkel"
  ],
  "comment": "The theorem proven is a bit more general than in version 1. Clarification and reorganization of some parts of the paper",
  "categories": [
    "math.NT",
    "math.AG"
  ],
  "abstract": "We prove asymptotic formulas for the number of rational points of bounded height on smooth equivariant compactifications of the affine space. (Nous \\'etablissons un d\\'eveloppement asymptotique du nombre de points rationnels de hauteur born\\'ee sur les compactifications \\'equivariantes lisses de l'espace affine.)",
  "revisions": [
    {
      "version": "v2",
      "updated": "2001-04-23T23:20:52.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "11G50",
      "11G35",
      "14G05"
    ],
    "keywords": [
      "bounded height",
      "vector groups",
      "distribution",
      "compactifications equivariantes lisses",
      "hauteur bornee sur"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2000math......5015C"
    }
  }
}