{
  "id": "math/0306438",
  "version": "v2",
  "published": "2003-06-30T18:05:46.000Z",
  "updated": "2004-02-09T16:14:41.000Z",
  "title": "A Note on the Specialization Theorem for Families of Abelian Varieties",
  "authors": [
    "Rania Wazir"
  ],
  "comment": "5 pages; exposition shortened, geometric lemma added",
  "categories": [
    "math.NT",
    "math.AG"
  ],
  "abstract": "In this note, we apply Moriwaki's arithmetic height functions to obtain an analogue of Silverman's Specialization Theorem for families of Abelian varieties over $K$, where $K$ is any field finitely generated over ${\\Q}$.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2004-02-09T16:14:41.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "11G40",
      "14K15"
    ],
    "keywords": [
      "abelian varieties",
      "apply moriwakis arithmetic height functions",
      "silvermans specialization theorem"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 5,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2003math......6438W"
    }
  }
}