{
  "id": "0905.4388",
  "version": "v2",
  "published": "2009-05-27T11:54:35.000Z",
  "updated": "2009-12-14T10:30:07.000Z",
  "title": "Rational curves and bounds on the Picard number of Fano manifolds",
  "authors": [
    "Carla Novelli",
    "Gianluca Occhetta"
  ],
  "comment": "Modified the proof of the main theorem and eliminated a statement about the cone of curves. To appear in Geometriae Dedicata",
  "categories": [
    "math.AG"
  ],
  "abstract": "We prove that Generalized Mukai Conjecture holds for Fano manifolds $X$ of pseudoindex $i_X \\ge (\\dim X +3)/3$. We also give different proofs of the conjecture for Fano fourfolds and fivefolds.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2009-12-14T10:30:07.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "14J45",
      "14E30"
    ],
    "keywords": [
      "fano manifolds",
      "picard number",
      "rational curves",
      "generalized mukai conjecture holds",
      "fano fourfolds"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}