{
  "id": "1310.7963",
  "version": "v3",
  "published": "2013-10-29T20:51:03.000Z",
  "updated": "2014-10-27T16:31:35.000Z",
  "title": "Average size of 2-Selmer groups of elliptic curves over function fields",
  "authors": [
    "Q. P. Ho",
    "B. V. Le Hung",
    "B. C. Ngo"
  ],
  "comment": "Thoroughly revised to improve the exposition",
  "categories": [
    "math.NT",
    "math.AG"
  ],
  "abstract": "Employing a geometric setting inspired by the proof of the Fundamental Lemma, we study some counting problems related to the average size of 2-Selmer groups and hence obtain an estimate for it.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2013-11-06T23:08:47.000Z",
      "title": "Average Size of 2-Selmer Groups of Elliptic Curves over Function Fields",
      "comment": "Added references in new version",
      "journal": null,
      "doi": null
    },
    {
      "version": "v3",
      "updated": "2014-10-27T16:31:35.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "average size",
      "function fields",
      "elliptic curves",
      "fundamental lemma"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2013arXiv1310.7963H"
    }
  }
}