{
  "id": "1107.3337",
  "version": "v2",
  "published": "2011-07-17T21:51:04.000Z",
  "updated": "2012-03-14T16:17:42.000Z",
  "title": "On a conjecture of Oguiso about rational curves on Calabi-Yau threefolds",
  "authors": [
    "Simone Diverio",
    "Andrea Ferretti"
  ],
  "comment": "13 pages, 1 figure, final version. To appear on Comment. Math. Helv",
  "categories": [
    "math.AG",
    "math.CV"
  ],
  "abstract": "Let X be a Calabi-Yau threefold. We show that if there exists on X a non-zero nef non-ample divisor then X contains a rational curve, provided its second Betti number is greater than 4.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2012-03-14T16:17:42.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "14J32",
      "14E30",
      "14G05",
      "32Q45"
    ],
    "keywords": [
      "calabi-yau threefold",
      "rational curve",
      "conjecture",
      "non-zero nef non-ample divisor",
      "second betti number"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 13,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2011arXiv1107.3337D"
    }
  }
}