{
  "id": "1011.2470",
  "version": "v3",
  "published": "2010-11-10T19:48:47.000Z",
  "updated": "2011-11-21T18:31:53.000Z",
  "title": "Manin's conjecture for a quartic del Pezzo surface with A_3 singularity and four lines",
  "authors": [
    "Pierre Le Boudec"
  ],
  "comment": "Final version",
  "journal": "Monatsh. Math. 167 (2012), no. 3-4, 481-502",
  "categories": [
    "math.NT",
    "math.AG"
  ],
  "abstract": "We establish Manin's conjecture for a quartic del Pezzo surface split over Q and having a singularity of type A_3 and containing exactly four lines. It is the first example of split singular quartic del Pezzo surface whose universal torsor is not a hypersurface for which Manin's conjecture is proved.",
  "revisions": [
    {
      "version": "v3",
      "updated": "2011-11-21T18:31:53.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "11D45",
      "14G05"
    ],
    "keywords": [
      "manins conjecture",
      "quartic del pezzo surface split",
      "singular quartic del pezzo surface",
      "singularity",
      "split singular quartic del pezzo"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2010arXiv1011.2470L"
    }
  }
}