{
  "id": "1604.02410",
  "version": "v1",
  "published": "2016-04-08T17:42:37.000Z",
  "updated": "2016-04-08T17:42:37.000Z",
  "title": "Twists of non-hyperelliptic curves of genus 3",
  "authors": [
    "Elisa Lorenzo García"
  ],
  "categories": [
    "math.NT"
  ],
  "abstract": "In this paper we explicitly compute equations for the twists of all the smooth plane quartic curves de?fined over a number ?field k. Since the plane quartic curves are non-hyperelliptic curves of genus 3 we can apply the method developed by the author in a previous article. The starting point is a classification due to Henn of the plane quartic curves with non-trivial automorphism group up to C-isomorphism.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2016-04-08T17:42:37.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "11G99",
      "14H10",
      "14H45",
      "14H50"
    ],
    "keywords": [
      "non-hyperelliptic curves",
      "smooth plane quartic curves",
      "non-trivial automorphism group",
      "c-isomorphism",
      "starting point"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2016arXiv160402410G"
    }
  }
}