{
  "id": "0705.3932",
  "version": "v3",
  "published": "2007-05-27T06:01:26.000Z",
  "updated": "2008-08-29T18:52:56.000Z",
  "title": "p^k-torsion of genus two curves over F_{p^m}",
  "authors": [
    "Michael E. Zieve"
  ],
  "comment": "7 pages; the proofs sketched in the previous version are now given in detail",
  "journal": "Math. Comp. 79 (2010) 1833-1838",
  "categories": [
    "math.AG",
    "math.NT"
  ],
  "abstract": "We determine the isogeny classes of abelian surfaces over F_q whose group of F_q-rational points has order divisible by q^2. We also solve the same problem for Jacobians of genus-2 curves.",
  "revisions": [
    {
      "version": "v3",
      "updated": "2008-08-29T18:52:56.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "14H40"
    ],
    "keywords": [
      "abelian surfaces",
      "isogeny classes"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "publisher": "AMS",
      "journal": "Math. Comp."
    },
    "note": {
      "typesetting": "TeX",
      "pages": 7,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2007arXiv0705.3932Z"
    }
  }
}