{
  "id": "1304.6798",
  "version": "v1",
  "published": "2013-04-25T04:44:54.000Z",
  "updated": "2013-04-25T04:44:54.000Z",
  "title": "On the Unirationality of del Pezzo surfaces of degree two",
  "authors": [
    "Cecília Salgado",
    "Damiano Testa",
    "Anthony Várilly-Alvarado"
  ],
  "comment": "20 pages, Magma code included at the end of the source file",
  "categories": [
    "math.AG"
  ],
  "abstract": "Among geometrically rational surfaces, del Pezzo surfaces of degree two over a field k containing at least one point are arguably the simplest that are not known to be unirational over k. Looking for k-rational curves on these surfaces, we extend some earlier work of Manin on this subject. We then focus on the case where k is a finite field, where we show that all except possibly three explicit del Pezzo surfaces of degree two are unirational over k.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2013-04-25T04:44:54.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "14J26",
      "14G15"
    ],
    "keywords": [
      "unirationality",
      "explicit del pezzo surfaces",
      "earlier work",
      "geometrically rational surfaces",
      "finite field"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 20,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2013arXiv1304.6798S"
    }
  }
}