{
  "id": "1911.04310",
  "version": "v1",
  "published": "2019-11-11T14:53:47.000Z",
  "updated": "2019-11-11T14:53:47.000Z",
  "title": "Riemann surfaces of genus $1+q^2$ with $3q^2$ automorphisms",
  "authors": [
    "Angel Carocca",
    "Sebastián Reyes-Carocca"
  ],
  "comment": "25 pages",
  "categories": [
    "math.AG"
  ],
  "abstract": "In this article we classify compact Riemann surfaces of genus $1+q^2$ with a group of automorphisms of order $3q^2,$ where $q$ is a prime number. We also study decompositions of the corresponding Jacobian varieties.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2019-11-11T14:53:47.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "30F10",
      "14H37",
      "14H40"
    ],
    "keywords": [
      "automorphisms",
      "classify compact riemann surfaces",
      "prime number",
      "study decompositions",
      "corresponding jacobian varieties"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 25,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}