{
  "id": "1311.0263",
  "version": "v2",
  "published": "2013-11-01T19:06:32.000Z",
  "updated": "2015-08-14T15:30:25.000Z",
  "title": "On the rationality of the moduli of higher spin curves in low genus",
  "authors": [
    "Letizia Pernigotti",
    "Alessandro Verra"
  ],
  "comment": "Refereed version. To appear in IMRN, International Mathematics Research Notices",
  "categories": [
    "math.AG"
  ],
  "abstract": "The global geometry of the moduli spaces of higher spin curves and their birational classification is largely unknown for g >= 2 and r > 2. Using quite related geometric constructions, we almost complete the picture of the known results in genus g <= 4 showing the rationality of the moduli spaces of even and odd 4-spin curves of genus 3, of odd spin curves of genus 4 and of 3-spin curves of genus 4.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2013-11-01T19:06:32.000Z",
      "comment": "16 pages",
      "journal": null,
      "doi": null
    },
    {
      "version": "v2",
      "updated": "2015-08-14T15:30:25.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "14H10",
      "14H45",
      "14E05",
      "14E08"
    ],
    "keywords": [
      "higher spin curves",
      "low genus",
      "rationality",
      "moduli spaces",
      "odd spin curves"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 16,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2013arXiv1311.0263P"
    }
  }
}