{
  "id": "0705.1443",
  "version": "v1",
  "published": "2007-05-10T11:46:31.000Z",
  "updated": "2007-05-10T11:46:31.000Z",
  "title": "Embedding Degree of Hyperelliptic Curves with Complex Multiplication",
  "authors": [
    "Christian Robenhagen Ravnshoj"
  ],
  "comment": "7 pages",
  "categories": [
    "math.AG",
    "math.NT"
  ],
  "abstract": "Consider the Jacobian of a genus two curve defined over a finite field and with complex multiplication. In this paper we show that if the l-Sylow subgroup of the Jacobian is not cyclic, then the embedding degree of the Jacobian with respect to l is one.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2007-05-10T11:46:31.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "14H40",
      "14Q05",
      "94A60"
    ],
    "keywords": [
      "complex multiplication",
      "embedding degree",
      "hyperelliptic curves",
      "finite field"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 7,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2007arXiv0705.1443R"
    }
  }
}