{
  "id": "1812.00705",
  "version": "v1",
  "published": "2018-12-03T12:25:10.000Z",
  "updated": "2018-12-03T12:25:10.000Z",
  "title": "On Riemann surfaces of genus $g$ with $4g-4$ automorphisms",
  "authors": [
    "Sebastián Reyes-Carocca"
  ],
  "comment": "15 pages",
  "categories": [
    "math.AG"
  ],
  "abstract": "In this article we study compact Riemann surfaces with a non-large group of automorphisms of maximal order; namely, compact Riemann surfaces of genus $g$ with a group of automorphisms of order $4g-4.$ Under the assumption that $g-1$ is prime, we provide a complete classification of them and determine isogeny decompositions of the corresponding Jacobian varieties.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2018-12-03T12:25:10.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "14H30",
      "30F35",
      "14H37",
      "14H40"
    ],
    "keywords": [
      "automorphisms",
      "study compact riemann surfaces",
      "determine isogeny decompositions",
      "corresponding jacobian varieties",
      "non-large group"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 15,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}