{
  "id": "0706.2320",
  "version": "v1",
  "published": "2007-06-15T15:38:00.000Z",
  "updated": "2007-06-15T15:38:00.000Z",
  "title": "On large automorphism groups of algebraic curves in positive characteristic",
  "authors": [
    "Massimo Giulietti",
    "Gabor Korchmaros"
  ],
  "categories": [
    "math.AG"
  ],
  "abstract": "In his investigation on large $K$-automorphism groups of an algebraic curve, Stichtenoth obtained an upper bound on the order of the first ramification group of an algebraic curve $\\cX$ defined over an algebraically closed field of characteristic $p$. Stichtenoth's bound has raised the problem of classifying all $\\K$-automorphism groups $G$ of $\\cX$ with the following property: There is a point $P\\in \\cX$ for which \\begin{equation} |G_P^{(1)}|>\\frac{p}{p-1}g. \\end{equation} Such a classification is obtained here by proving Theorem 1.3",
  "revisions": [
    {
      "version": "v1",
      "updated": "2007-06-15T15:38:00.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "14H37"
    ],
    "keywords": [
      "algebraic curve",
      "large automorphism groups",
      "positive characteristic",
      "first ramification group",
      "upper bound"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2007arXiv0706.2320G"
    }
  }
}