{
  "id": "1106.4130",
  "version": "v1",
  "published": "2011-06-21T08:35:12.000Z",
  "updated": "2011-06-21T08:35:12.000Z",
  "title": "On cubic surfaces with a rational line",
  "authors": [
    "Andreas-Stephan Elsenhans",
    "Jörg Jahnel"
  ],
  "categories": [
    "math.AG",
    "math.NT"
  ],
  "abstract": "We report on our project to construct non-singular cubic surfaces over $\\bbQ$ with a rational line. Our method is to start with degree 4 Del Pezzo surfaces in diagonal form. For these, we develop an explicit version of Galois descent.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2011-06-21T08:35:12.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "14J26",
      "14G25",
      "11G35"
    ],
    "keywords": [
      "rational line",
      "construct non-singular cubic surfaces",
      "del pezzo surfaces",
      "galois descent",
      "diagonal form"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2011arXiv1106.4130E"
    }
  }
}