{
  "id": "math/0504016",
  "version": "v1",
  "published": "2005-04-01T13:32:36.000Z",
  "updated": "2005-04-01T13:32:36.000Z",
  "title": "Manin's conjecture for a certain singular cubic surface",
  "authors": [
    "Ulrich Derenthal"
  ],
  "comment": "18 pages",
  "categories": [
    "math.NT",
    "math.AG"
  ],
  "abstract": "We prove Manin's conjecture for a singular cubic surface S with a singularity of type E6. If U is the open subset of S obtained by deleting the unique line from S, then the number of rational points in U with anticanonical height bounded by B behaves asymptotically as cB(log B)^6, where the constant c agrees with the one conjectured by Peyre.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2005-04-01T13:32:36.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "11G35",
      "14G05",
      "14J45"
    ],
    "keywords": [
      "singular cubic surface",
      "manins conjecture",
      "open subset",
      "type e6",
      "unique line"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 18,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2005math......4016D"
    }
  }
}