{
  "id": "1709.07748",
  "version": "v1",
  "published": "2017-09-22T13:52:23.000Z",
  "updated": "2017-09-22T13:52:23.000Z",
  "title": "Smooth weighted hypersurfaces that are not stably rational",
  "authors": [
    "Takuzo Okada"
  ],
  "comment": "25 pages",
  "categories": [
    "math.AG"
  ],
  "abstract": "We prove the failure of stable rationality for many smooth well formed weighted hypersurfaces of dimension at least 3. It is in particular proved that a very general smooth well formed Fano weighted hypersurface of index one is not stably rational.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2017-09-22T13:52:23.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "smooth weighted hypersurfaces",
      "stably rational",
      "general smooth",
      "formed fano weighted hypersurface"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 25,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}