{
  "id": "math/0407249",
  "version": "v1",
  "published": "2004-07-14T14:39:30.000Z",
  "updated": "2004-07-14T14:39:30.000Z",
  "title": "Detecting linear dependence by reduction maps",
  "authors": [
    "Grzegorz Banaszak",
    "Wojciech Gajda",
    "Piotr Krason"
  ],
  "comment": "This is a revised version of the MPI preprint no. 14 from March 2003",
  "categories": [
    "math.NT",
    "math.AG"
  ],
  "abstract": "We consider the local to global principle for detecting linear dependence of points in groups of the Mordell-Weil type. As applications of our general setting we obtain corresponding statements for Mordell-Weil groups of non{-}CM elliptic curves and some higher dimensional abelian varieties defined over number fields, and also for odd dimensional K-groups of number fields.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2004-07-14T14:39:30.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "11G10",
      "14K15",
      "14L15"
    ],
    "keywords": [
      "detecting linear dependence",
      "reduction maps",
      "number fields",
      "cm elliptic curves",
      "higher dimensional abelian varieties"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2004math......7249B"
    }
  }
}