{
  "id": "1407.5694",
  "version": "v1",
  "published": "2014-07-21T23:55:14.000Z",
  "updated": "2014-07-21T23:55:14.000Z",
  "title": "Ampleness of canonical divisors of hyperbolic normal projective varieties",
  "authors": [
    "Fei Hu",
    "Sheng Meng",
    "De-Qi Zhang"
  ],
  "comment": "Mathematische Zeitschrift (to appear)",
  "categories": [
    "math.AG",
    "math.CV",
    "math.DG"
  ],
  "abstract": "Let X be a projective variety which is algebraic Lang hyperbolic. We show that Lang's conjecture holds (one direction only): X and all its subvarieties are of general type and the canonical divisor K_X is ample at smooth points and Kawamata log terminal points of X, provided that K_X is Q-Cartier, no Calabi-Yau variety is algebraic Lang hyperbolic and a weak abundance conjecture holds.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2014-07-21T23:55:14.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "32Q45",
      "14E30"
    ],
    "keywords": [
      "projective variety",
      "hyperbolic normal projective varieties",
      "canonical divisor",
      "algebraic lang hyperbolic",
      "weak abundance conjecture holds"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2014arXiv1407.5694H"
    }
  }
}