{
  "id": "math/9908152",
  "version": "v1",
  "published": "1999-08-28T07:34:34.000Z",
  "updated": "1999-08-28T07:34:34.000Z",
  "title": "Coverings of curves with asymptotically many rational points",
  "authors": [
    "Wen-Ching Li",
    "Hiren Maharaj"
  ],
  "comment": "19 pages",
  "categories": [
    "math.NT",
    "math.AG"
  ],
  "abstract": "The number A(q) is the upper limit of the ratio of the maximum number of points of a curve defined over $\\Fq$ to the genus. By constructing class field towers with good parameters we present improvements of lower bounds of A(q) for q an odd power of a prime.",
  "revisions": [
    {
      "version": "v1",
      "updated": "1999-08-28T07:34:34.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "14H05",
      "94B27"
    ],
    "keywords": [
      "rational points",
      "constructing class field towers",
      "upper limit",
      "odd power",
      "lower bounds"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 19,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "1999math......8152L"
    }
  }
}