{
  "id": "1704.03034",
  "version": "v1",
  "published": "2017-04-10T19:42:26.000Z",
  "updated": "2017-04-10T19:42:26.000Z",
  "title": "On a theorem of Campana and Păun",
  "authors": [
    "Christian Schnell"
  ],
  "comment": "8 pages. Comments or questions are most welcome!",
  "categories": [
    "math.AG"
  ],
  "abstract": "Let $X$ be a smooth projective variety over the complex numbers, and $\\Delta \\subseteq X$ a reduced divisor with normal crossings. We present a slightly simplified proof for the following theorem of Campana and P\\u{a}un: If some tensor power of the bundle $\\Omega_X^1(\\log \\Delta)$ contains a subsheaf with big determinant, then $(X, \\Delta)$ is of log general type. This result is a key step in the recent proof of Viehweg'shyperbolicity conjecture.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2017-04-10T19:42:26.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "log general type",
      "smooth projective variety",
      "tensor power",
      "complex numbers",
      "big determinant"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 8,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}