{
  "id": "1807.02742",
  "version": "v1",
  "published": "2018-07-08T02:57:54.000Z",
  "updated": "2018-07-08T02:57:54.000Z",
  "title": "On automorphisms of algebraic curves",
  "authors": [
    "A. Broughton",
    "T. Shaska",
    "A. Wootton"
  ],
  "categories": [
    "math.AG"
  ],
  "abstract": "An irreducible, algebraic curve $\\mathcal X_g$ of genus $g\\geq 2$ defined over an algebraically closed field $k$ of characteristic $\\mbox{char } \\, k = p \\geq 0$, has finite automorphism group $\\mbox{Aut} (\\mathcal X_g)$. In this paper we describe methods of determining the list of groups $\\mbox{Aut} (\\mathcal X_g)$ for a fixed $g\\geq 2$. Moreover, equations of the corresponding families of curves are given when possible.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2018-07-08T02:57:54.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "algebraic curve",
      "finite automorphism group",
      "algebraically closed field",
      "characteristic"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}