{
  "id": "0706.4203",
  "version": "v3",
  "published": "2007-06-28T11:26:36.000Z",
  "updated": "2011-08-31T05:08:32.000Z",
  "title": "Optimal curves of low genus over finite fields",
  "authors": [
    "Alexey Zaytsev"
  ],
  "comment": "a proof of the theorem 5.6 was corrected",
  "categories": [
    "math.AG",
    "math.NT"
  ],
  "abstract": "The Hasse-Weil-Serre bound is improved for curves of low genera over finite fields with discriminant in {-3,-4,-7,-8,-11,-19} by studying optimal curves.",
  "revisions": [
    {
      "version": "v3",
      "updated": "2011-08-31T05:08:32.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "14G45",
      "11G10",
      "14K15",
      "11D45"
    ],
    "keywords": [
      "finite fields",
      "low genus",
      "hasse-weil-serre bound",
      "low genera"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2007arXiv0706.4203Z"
    }
  }
}