{
  "id": "1704.06057",
  "version": "v1",
  "published": "2017-04-20T09:02:02.000Z",
  "updated": "2017-04-20T09:02:02.000Z",
  "title": "On RC varieties without smooth rational curves",
  "authors": [
    "Ilya Karzhemanov"
  ],
  "comment": "10 pages; one of the IPMU preprints I have forgotten to post on the arXiv",
  "categories": [
    "math.AG",
    "math.DG"
  ],
  "abstract": "We construct normal rationally connected varieties (of arbitrarily large dimension) not containing any smooth rational curves.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2017-04-20T09:02:02.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "smooth rational curves",
      "rc varieties",
      "construct normal rationally connected varieties",
      "arbitrarily large dimension"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 10,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}