{
  "id": "1309.1899",
  "version": "v3",
  "published": "2013-09-07T20:06:52.000Z",
  "updated": "2017-02-11T12:32:28.000Z",
  "title": "Variety of power sums and divisors in the moduli space of cubic fourfolds",
  "authors": [
    "Kristian Ranestad",
    "Claire Voisin"
  ],
  "comment": "42 pages, expanded and revised version to appear in Documenta Mathematica",
  "categories": [
    "math.AG"
  ],
  "abstract": "We show that a cubic fourfold F that is apolar to a Veronese surface has the property that its variety of power sums VSP(F,10) is singular along a K3 surface of genus 20. We prove that these cubics form a divisor in the moduli space of cubic fourfolds and that this divisor is not a Noether-Lefschetz divisor. We use this result to prove that there is no nontrivial Hodge correspondence between a very general cubic and its VSP.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2013-09-19T19:04:13.000Z",
      "comment": "33 pages, minor edits, introduction expanded",
      "journal": null,
      "doi": null
    },
    {
      "version": "v3",
      "updated": "2017-02-11T12:32:28.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "14J70",
      "14M15",
      "14N99"
    ],
    "keywords": [
      "cubic fourfold",
      "moduli space",
      "nontrivial hodge correspondence",
      "power sums vsp",
      "general cubic"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 42,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2013arXiv1309.1899R"
    }
  }
}