{
  "id": "1010.2005",
  "version": "v3",
  "published": "2010-10-11T05:56:17.000Z",
  "updated": "2011-04-25T03:08:28.000Z",
  "title": "A bound of lengths of chains of minimal rational curves on Fano manifolds of Picard number 1",
  "authors": [
    "Kiwamu Watanabe"
  ],
  "comment": "10 pages. Correct minor erros. Improved exposition",
  "categories": [
    "math.AG"
  ],
  "abstract": "In this paper, we investigate the minimal length of chains of minimal rational curves needed to join two general points on a Fano manifold of Picard number 1. In particular, we give a sharp bound of the length by a fundamental argument. As an application, we compute the length for Fano manifolds of dimension < 8.",
  "revisions": [
    {
      "version": "v3",
      "updated": "2011-04-25T03:08:28.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "14E30",
      "14J45",
      "14N99"
    ],
    "keywords": [
      "fano manifold",
      "picard number",
      "fundamental argument",
      "sharp bound",
      "minimal length"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 10,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2010arXiv1010.2005W"
    }
  }
}