{
  "id": "math/0503378",
  "version": "v1",
  "published": "2005-03-18T12:35:16.000Z",
  "updated": "2005-03-18T12:35:16.000Z",
  "title": "A Mordell-Weil theorem for abelian varieties over fields generated by torsion points",
  "authors": [
    "Michael Larsen"
  ],
  "comment": "8 pages",
  "categories": [
    "math.NT"
  ],
  "abstract": "If A is an abelian variety over a number field K, and L is a (possibly infinite) extension of K generated by torsion points of A, then the quotient of A(L) by its torsion subgroup is a free abelian group.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2005-03-18T12:35:16.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "11G10",
      "11R34"
    ],
    "keywords": [
      "torsion points",
      "abelian variety",
      "mordell-weil theorem",
      "free abelian group"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 8,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2005math......3378L"
    }
  }
}