{
  "id": "2011.13298",
  "version": "v1",
  "published": "2020-11-26T14:04:35.000Z",
  "updated": "2020-11-26T14:04:35.000Z",
  "title": "On the moduli space of ricci flat metrics on a K3 surface",
  "authors": [
    "David Degen"
  ],
  "comment": "7 pages",
  "categories": [
    "math.DG"
  ],
  "abstract": "We show that the moduli space of Ricci flat metrics of unit volume (including orbifold metrics) on a K3 surface is simply connected and that it has the same rational cohomology as the automorphism group of the K3 lattice $(-E_8)^{\\oplus 2}\\oplus U^{\\oplus 3}$.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2020-11-26T14:04:35.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "ricci flat metrics",
      "k3 surface",
      "moduli space",
      "unit volume",
      "orbifold metrics"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 7,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}