{
  "id": "1408.0269",
  "version": "v2",
  "published": "2014-08-01T19:12:17.000Z",
  "updated": "2015-05-05T20:16:32.000Z",
  "title": "Unirationality of del Pezzo surfaces of degree two over finite fields (extended version)",
  "authors": [
    "Dino Festi",
    "Ronald van Luijk"
  ],
  "comment": "Some minor changes, including the title. We have posted a shorter version with the original title and we have called this the extended version. 21 pages; a file with magma code verifying some computational claims can be obtained by downloading the source",
  "categories": [
    "math.AG"
  ],
  "abstract": "We prove that every del Pezzo surface of degree two over a finite field is unirational, building on the work of Manin and an extension by Salgado, Testa, and V\\'arilly-Alvarado, who had proved this for all but three surfaces. Over general fields, we state several sufficient conditions for a del Pezzo surface of degree two to be unirational.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2014-08-01T19:12:17.000Z",
      "title": "Unirationality of del Pezzo surfaces of degree two over finite fields",
      "comment": "21 pages; a file with magma code verifying some computational claims can be obtained by downloading the source",
      "journal": null,
      "doi": null
    },
    {
      "version": "v2",
      "updated": "2015-05-05T20:16:32.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "14J26",
      "14G15"
    ],
    "keywords": [
      "del pezzo surface",
      "finite field",
      "unirationality",
      "general fields",
      "sufficient conditions"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 21,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2014arXiv1408.0269F"
    }
  }
}