{
  "id": "math/0605444",
  "version": "v3",
  "published": "2006-05-16T16:46:26.000Z",
  "updated": "2006-06-01T14:51:18.000Z",
  "title": "Abelian Varieties over Cyclic Fields",
  "authors": [
    "Bo-Hae Im",
    "Michael Larsen"
  ],
  "comment": "15 pages; minor changes",
  "categories": [
    "math.NT",
    "math.AG"
  ],
  "abstract": "Let K be a field not of characteristic 2 such that every finite separable extension of K is cyclic. Let A be an abelian variety over K. If K is infinite, then A(K) is Zariski-dense in A. If K is not locally finite, the rank of A over K is infinite.",
  "revisions": [
    {
      "version": "v3",
      "updated": "2006-06-01T14:51:18.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "11G10"
    ],
    "keywords": [
      "abelian variety",
      "cyclic fields",
      "finite separable extension"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 15,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2006math......5444I"
    }
  }
}