{
  "id": "1510.02011",
  "version": "v1",
  "published": "2015-10-07T16:25:21.000Z",
  "updated": "2015-10-07T16:25:21.000Z",
  "title": "A very general quartic or quintic fivefold is not stably rational",
  "authors": [
    "Stefan Schreieder",
    "Luca Tasin"
  ],
  "comment": "15 pages",
  "categories": [
    "math.AG"
  ],
  "abstract": "Using Voisin's method we prove that a very general quartic or quintic fivefold is not stably rational and so, in particular, not rational. On the other hand, general quartic fivefolds are known to be unirational.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2015-10-07T16:25:21.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "14E08",
      "14J45",
      "14J70"
    ],
    "keywords": [
      "quintic fivefold",
      "stably rational",
      "general quartic fivefolds",
      "voisins method"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 15,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2015arXiv151002011S"
    }
  }
}