{
  "id": "1706.01371",
  "version": "v1",
  "published": "2017-06-05T15:30:42.000Z",
  "updated": "2017-06-05T15:30:42.000Z",
  "title": "Intersections of three quadrics in $\\mathbb{P}^7$",
  "authors": [
    "Brendan Hassett",
    "Alena Pirutka",
    "Yuri Tschinkel"
  ],
  "comment": "18 pages",
  "categories": [
    "math.AG"
  ],
  "abstract": "We study rationality properties of smooth complete intersections of three quadrics in $\\mathbb{P}^7$. We exhibit a smooth family of such intersections with both rational and non-rational fibers.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2017-06-05T15:30:42.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "14E08",
      "14F20",
      "14C30"
    ],
    "keywords": [
      "study rationality properties",
      "smooth complete intersections",
      "non-rational fibers"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 18,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}