{
  "id": "0711.4706",
  "version": "v1",
  "published": "2007-11-29T13:33:48.000Z",
  "updated": "2007-11-29T13:33:48.000Z",
  "title": "Ranks of elliptic curves over function fields",
  "authors": [
    "Alan G. B. Lauder"
  ],
  "comment": "32 pages",
  "categories": [
    "math.NT",
    "math.AG"
  ],
  "abstract": "We present experimental evidence to support the widely held belief that one half of all elliptic curves have infinitely many rational points. The method used to gather this evidence is a refinement of an algorithm due to the author which is based upon rigid and crystalline cohomology.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2007-11-29T13:33:48.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "11Y99"
    ],
    "keywords": [
      "elliptic curves",
      "function fields",
      "held belief",
      "crystalline cohomology",
      "rational points"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 32,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2007arXiv0711.4706L"
    }
  }
}