{
  "id": "math/0603555",
  "version": "v1",
  "published": "2006-03-23T06:51:15.000Z",
  "updated": "2006-03-23T06:51:15.000Z",
  "title": "Classification of genus 3 curves in special strata of the moduli space",
  "authors": [
    "Martine Girard",
    "David R. Kohel"
  ],
  "categories": [
    "math.NT",
    "math.AG"
  ],
  "abstract": "We describe the invariants of plane quartic curves -- nonhyperelliptic genus 3 curves in their canonical model -- as determined by Dixmier and Ohno, with application to the classification of curves with given structure. In particular, we determine modular equations for the strata in the moduli space $\\Me_3$ of plane quartics which have at least seven hyperflexes, and obtain an computational characterization of curves in these strata.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2006-03-23T06:51:15.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "moduli space",
      "special strata",
      "classification",
      "determine modular equations",
      "plane quartic curves"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2006math......3555G"
    }
  }
}