{
  "id": "math/0410117",
  "version": "v4",
  "published": "2004-10-05T16:17:47.000Z",
  "updated": "2005-04-22T12:56:36.000Z",
  "title": "Counting rational points on algebraic varieties",
  "authors": [
    "T. D. Browning",
    "D. R. Heath-Brown",
    "P. Salberger"
  ],
  "comment": "29 pages",
  "categories": [
    "math.NT",
    "math.AG"
  ],
  "abstract": "Let $Z$ be a projective geometrically integral algebraic variety. This paper is concerned with estimating the number of rational points on $Z$ which have height at most $B$. The bounds obtained are uniform in varieties of fixed degree and fixed dimension, and are essentially best possible for varieties of degree at least six.",
  "revisions": [
    {
      "version": "v4",
      "updated": "2005-04-22T12:56:36.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "11G35",
      "14G05"
    ],
    "keywords": [
      "counting rational points",
      "projective geometrically integral algebraic variety",
      "fixed degree"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 29,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2004math.....10117B"
    }
  }
}