{
  "id": "1910.10123",
  "version": "v1",
  "published": "2019-10-22T17:15:14.000Z",
  "updated": "2019-10-22T17:15:14.000Z",
  "title": "The unirationality of the moduli space of K3 surfaces of degree 42",
  "authors": [
    "Gavril Farkas",
    "Alessandro Verra"
  ],
  "comment": "14 pages",
  "categories": [
    "math.AG"
  ],
  "abstract": "Using the connection discovered by Hassett between the Noether-Lefschetz moduli space of special cubic fourfolds of discriminant 42 and the moduli space F_{22} of polarized K3 surfaces of genus 22, we show that the universal K3 surface over F_{22} is unirational.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2019-10-22T17:15:14.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "unirationality",
      "universal k3 surface",
      "special cubic fourfolds",
      "noether-lefschetz moduli space",
      "polarized k3 surfaces"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 14,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}