{
  "id": "1409.6224",
  "version": "v1",
  "published": "2014-09-22T16:05:46.000Z",
  "updated": "2014-09-22T16:05:46.000Z",
  "title": "Counting rational points on smooth cubic surfaces",
  "authors": [
    "Christopher Frei",
    "Efthymios Sofos"
  ],
  "comment": "11 pages",
  "categories": [
    "math.NT",
    "math.AG"
  ],
  "abstract": "We prove that any smooth cubic surface defined over any number field satisfies the lower bound predicted by Manin's conjecture possibly after an extension of small degree.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2014-09-22T16:05:46.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "11D45",
      "14G05"
    ],
    "keywords": [
      "counting rational points",
      "number field satisfies",
      "small degree",
      "smooth cubic surface",
      "manins conjecture"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 11,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2014arXiv1409.6224F"
    }
  }
}