{
  "id": "0710.2079",
  "version": "v1",
  "published": "2007-10-10T17:52:01.000Z",
  "updated": "2007-10-10T17:52:01.000Z",
  "title": "The yoga of the Cassels-Tate pairing",
  "authors": [
    "Tom Fisher",
    "Edward F. Schaefer",
    "Michael Stoll"
  ],
  "comment": "8 pages",
  "doi": "10.1112/S1461157010000185",
  "categories": [
    "math.NT"
  ],
  "abstract": "Cassels has described a pairing on the 2-Selmer group of an elliptic curve which shares some properties with the Cassels-Tate pairing. In this article, we prove that the two pairings are the same.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2007-10-10T17:52:01.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "11G05",
      "11G07"
    ],
    "keywords": [
      "cassels-tate pairing",
      "elliptic curve",
      "properties"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 8,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2007arXiv0710.2079F"
    }
  }
}