{
  "id": "math/0412086",
  "version": "v3",
  "published": "2004-12-04T15:03:20.000Z",
  "updated": "2006-01-04T09:16:31.000Z",
  "title": "On Manin's conjecture for singular del Pezzo surfaces of degree four, I",
  "authors": [
    "R. de la Breteche",
    "T. D. Browning"
  ],
  "comment": "30 pages",
  "categories": [
    "math.NT",
    "math.AG"
  ],
  "abstract": "In this paper the height zeta function associated to a certain singular del Pezzo surface of degree four is studied. If $U$ denotes the open subset formed by deleting the unique line from this surface, then an asymptotic formula for the number of rational points of bounded height on $U$ is established which verifies the Manin conjecture.",
  "revisions": [
    {
      "version": "v3",
      "updated": "2006-01-04T09:16:31.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "11G35",
      "14G05",
      "14G10"
    ],
    "keywords": [
      "singular del pezzo surface",
      "manins conjecture",
      "asymptotic formula",
      "unique line",
      "manin conjecture"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 30,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2004math.....12086D"
    }
  }
}