{
  "id": "1603.09262",
  "version": "v1",
  "published": "2016-03-30T16:19:11.000Z",
  "updated": "2016-03-30T16:19:11.000Z",
  "title": "Stable rationality of quadric surface bundles over surfaces",
  "authors": [
    "Brendan Hassett",
    "Alena Pirutka",
    "Yuri Tschinkel"
  ],
  "comment": "24 pages",
  "categories": [
    "math.AG",
    "math.NT"
  ],
  "abstract": "We study rationality properties of quadric surface bundles over the projective plane. We exhibit families of smooth projective complex fourfolds of this type over connected bases, containing both rational and non-rational fibers.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2016-03-30T16:19:11.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "quadric surface bundles",
      "stable rationality",
      "study rationality properties",
      "smooth projective complex fourfolds",
      "non-rational fibers"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 24,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2016arXiv160309262H"
    }
  }
}