{
  "id": "math/0607515",
  "version": "v3",
  "published": "2006-07-21T01:12:53.000Z",
  "updated": "2007-04-04T03:29:02.000Z",
  "title": "Jacobians in isogeny classes of abelian surfaces over finite fields",
  "authors": [
    "Everett W. Howe",
    "Enric Nart",
    "Christophe Ritzenthaler"
  ],
  "comment": "LaTeX, 38 pages. Intermediate results in Section 13 have been generalized. Minor changes elsewhere",
  "journal": "Ann. Inst. Fourier (Grenoble) 59 (2009) 239-289",
  "categories": [
    "math.NT",
    "math.AG"
  ],
  "abstract": "We give a complete answer to the question of which polynomials occur as the characteristic polynomials of Frobenius for genus-2 curves over finite fields.",
  "revisions": [
    {
      "version": "v3",
      "updated": "2007-04-04T03:29:02.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "11G20",
      "14G10",
      "14G15"
    ],
    "keywords": [
      "finite fields",
      "abelian surfaces",
      "isogeny classes",
      "complete answer",
      "polynomials occur"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "LaTeX",
      "pages": 38,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2006math......7515H"
    }
  }
}