{
  "id": "math/0408301",
  "version": "v3",
  "published": "2004-08-23T17:43:49.000Z",
  "updated": "2005-01-31T04:13:17.000Z",
  "title": "Rational connectedness of log $Q$-Fano varieties",
  "authors": [
    "Qi Zhang"
  ],
  "comment": "Minor modifications. To appear in J. reine angew. Math",
  "categories": [
    "math.AG"
  ],
  "abstract": "In this paper, we give an affirmative answer to a conjecture in the Minimal Model Program. We prove that log $Q$-Fano varieties of dim $n$ are rationally connected. We also study the behavior of the canonical bundles under projective morphisms.",
  "revisions": [
    {
      "version": "v3",
      "updated": "2005-01-31T04:13:17.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "fano varieties",
      "rational connectedness",
      "minimal model program",
      "conjecture",
      "affirmative answer"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2004math......8301Z"
    }
  }
}