{
  "id": "1601.05501",
  "version": "v1",
  "published": "2016-01-21T03:39:10.000Z",
  "updated": "2016-01-21T03:39:10.000Z",
  "title": "Cubic fourfolds, K3 surfaces, and rationality questions",
  "authors": [
    "Brendan Hassett"
  ],
  "comment": "36 pages, prepared for the June 2015 CIME-CIRM Course on Rationality Problems in Algebraic Geometry",
  "categories": [
    "math.AG"
  ],
  "abstract": "This is a survey of the geometry of complex cubic fourfolds with a view toward rationality questions. Topics include classical constructions of rational examples, Hodge structures and special cubic fourfolds, associated K3 surfaces and their geometric interpretations, and connections with rationality and unirationality constructions.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2016-01-21T03:39:10.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "14J35",
      "14E08",
      "14J28"
    ],
    "keywords": [
      "rationality questions",
      "special cubic fourfolds",
      "complex cubic fourfolds",
      "unirationality constructions",
      "geometric interpretations"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 36,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2016arXiv160105501H"
    }
  }
}