{
  "id": "math/0409322",
  "version": "v1",
  "published": "2004-09-18T18:05:34.000Z",
  "updated": "2004-09-18T18:05:34.000Z",
  "title": "Hessians and the moduli space of cubic surfaces",
  "authors": [
    "Elisa Dardanelli",
    "Bert van Geemen"
  ],
  "comment": "20 pages",
  "categories": [
    "math.AG"
  ],
  "abstract": "The Hessian of a general cubic surface is a nodal quartic surface, hence its desingularisation is a K3 surface. We determine the transcendental lattice of the Hessian K3 surface for various cubic surfaces (with nodes and/or Eckardt points for example). Classical invariant theory shows that the moduli space of cubic surfaces is a weighted projective space. We describe the singular locus and some other subvarieties of the moduli space.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2004-09-18T18:05:34.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "moduli space",
      "general cubic surface",
      "nodal quartic surface",
      "hessian k3 surface",
      "transcendental lattice"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 20,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2004math......9322D"
    }
  }
}