{
  "id": "math/0107069",
  "version": "v1",
  "published": "2001-07-10T11:04:02.000Z",
  "updated": "2001-07-10T11:04:02.000Z",
  "title": "Characterizing the projective space after Cho, Miyaoka and Shepherd-Barron",
  "authors": [
    "Stefan Kebekus"
  ],
  "comment": "Author-supplied PDF file with graphics is available at http://btm8x5.mat.uni-bayreuth.de/~kebekus",
  "categories": [
    "math.AG"
  ],
  "abstract": "In this paper we give a short and elementary proof of a characterization of the projective space in terms of rational curves which was conjectured by Mori and Mukai. A proof was first given in a preprint by K. Cho, Y. Miyaoka and N. Shepherd-Barron. While our proof here is shorter and involves substantial technical simplifications, the essential ideas are taken from that preprint.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2001-07-10T11:04:02.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "14M99"
    ],
    "keywords": [
      "projective space",
      "shepherd-barron",
      "rational curves",
      "substantial technical simplifications",
      "elementary proof"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2001math......7069K"
    }
  }
}