{
  "id": "math/0612159",
  "version": "v1",
  "published": "2006-12-06T17:08:22.000Z",
  "updated": "2006-12-06T17:08:22.000Z",
  "title": "Birational rigidity is not an open property",
  "authors": [
    "I. A. Cheltsov",
    "M. M. Grinenko"
  ],
  "comment": "26 pages",
  "categories": [
    "math.AG"
  ],
  "abstract": "We construct an example of the birationally rigid complete intersection of a quadric and a cubic in $\\PA^5$ with an ordinary double point, which under a small deformation gives a non-rigid Fano variety. Thus we show that birational rigidity is not open in moduli.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2006-12-06T17:08:22.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "14E05",
      "14E07"
    ],
    "keywords": [
      "birational rigidity",
      "open property",
      "birationally rigid complete intersection",
      "non-rigid fano variety",
      "ordinary double point"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 26,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2006math.....12159C"
    }
  }
}