{
  "id": "1901.04423",
  "version": "v1",
  "published": "2019-01-14T17:48:38.000Z",
  "updated": "2019-01-14T17:48:38.000Z",
  "title": "Hyperbolicity of bases of log Calabi-Yau families",
  "authors": [
    "Ya Deng"
  ],
  "comment": "15 pages, comments are very welcome!",
  "categories": [
    "math.AG",
    "math.CV"
  ],
  "abstract": "In this paper, we prove that the quasi-projective base of any maximally variational smooth family of Calabi-Yau klt pairs is both of log general type, and pseudo Kobayashi hyperbolic. Moreover, such a base is Brody hyperbolic if the family is effectively parametrized.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2019-01-14T17:48:38.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "32Q45",
      "14C30",
      "32J25",
      "14H15"
    ],
    "keywords": [
      "log calabi-yau families",
      "hyperbolicity",
      "log general type",
      "pseudo kobayashi hyperbolic",
      "calabi-yau klt pairs"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 15,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}