{
  "id": "1710.08832",
  "version": "v1",
  "published": "2017-10-24T15:12:38.000Z",
  "updated": "2017-10-24T15:12:38.000Z",
  "title": "Hyperbolicity of singular spaces",
  "authors": [
    "Benoit Cadorel",
    "Erwan Rousseau",
    "Behrouz Taji"
  ],
  "categories": [
    "math.AG",
    "math.CV"
  ],
  "abstract": "We study the hyperbolicity of singular quotients of bounded symmetric domains. We give effective criteria for such quotients to satisfy Green-Griffiths-Lang's conjectures in both analytic and algebraic settings. As an application, we show that Hilbert modular varieties, except for a few possible exceptions, satisfy all expected conjectures.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2017-10-24T15:12:38.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "singular spaces",
      "hyperbolicity",
      "hilbert modular varieties",
      "satisfy green-griffiths-langs conjectures",
      "bounded symmetric domains"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}