{
  "id": "1109.6253",
  "version": "v2",
  "published": "2011-09-28T16:00:55.000Z",
  "updated": "2013-02-01T17:14:47.000Z",
  "title": "Manin's conjecture for a singular quartic del Pezzo surface",
  "authors": [
    "Daniel Loughran"
  ],
  "doi": "10.1112/jlms/jds017",
  "categories": [
    "math.NT"
  ],
  "abstract": "We prove Manin's conjecture for a split singular quartic del Pezzo surface with singularity type $2\\Aone$ and eight lines. This is achieved by equipping the surface with a conic bundle structure. To handle the sum over the family of conics, we prove a result of independent interest on a certain restricted divisor problem for four binary linear forms.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2013-02-01T17:14:47.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "11D45",
      "14G05",
      "11N37"
    ],
    "keywords": [
      "singular quartic del pezzo surface",
      "manins conjecture",
      "split singular quartic del pezzo",
      "conic bundle structure",
      "binary linear forms"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2011arXiv1109.6253L"
    }
  }
}