{
  "id": "math/0509485",
  "version": "v1",
  "published": "2005-09-21T15:37:55.000Z",
  "updated": "2005-09-21T15:37:55.000Z",
  "title": "A finiteness property of torsion points",
  "authors": [
    "Matthew Baker",
    "Su-Ion Ih",
    "Robert Rumely"
  ],
  "comment": "27 pages",
  "categories": [
    "math.NT",
    "math.DS"
  ],
  "abstract": "Let k be a number field, let E/k be an elliptic curve, and let S be a finite set of places of k contianing the archimedean places. Let F be an algebraic closure of k. We prove that if a point P in E(F) is nontorsion, then there are only finitely many torsion points x in E(F) which are S-integral with respect to P. We also prove an analogue of this for the multiplicative group, and formulate conjectural generalizations for abelian varieties and dynamical systems.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2005-09-21T15:37:55.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "11G05",
      "37F10",
      "11J86",
      "11J71",
      "11G50"
    ],
    "keywords": [
      "torsion points",
      "finiteness property",
      "formulate conjectural generalizations",
      "algebraic closure",
      "elliptic curve"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 27,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2005math......9485B"
    }
  }
}