{
  "id": "1106.5176",
  "version": "v1",
  "published": "2011-06-25T22:43:58.000Z",
  "updated": "2011-06-25T22:43:58.000Z",
  "title": "Computer search for curves with many points among abelian covers of genus 2 curves",
  "authors": [
    "Karl Rökaeus"
  ],
  "journal": "Contemp. Math., 574, Amer. Math. Soc., Providence, RI, 2012",
  "categories": [
    "math.NT"
  ],
  "abstract": "Using class field theory one associates to each curve C over a finite field, and each subgroup G of its divisor class group, unramified abelian covers of C whose genus is determined by the index of G. By listing class groups of curves of small genus one may get examples of curves with many points; we do this for all curves of genus 2 over the fields of cardinality 5,7,9,11,13 and 16, giving new entries for the tables of curves with many points (www.manYPoints.org).",
  "revisions": [
    {
      "version": "v1",
      "updated": "2011-06-25T22:43:58.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "computer search",
      "divisor class group",
      "class field theory",
      "small genus",
      "finite field"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2011arXiv1106.5176R"
    }
  }
}