{
  "id": "1410.2529",
  "version": "v1",
  "published": "2014-10-09T16:57:02.000Z",
  "updated": "2014-10-09T16:57:02.000Z",
  "title": "A note on hyperbolicity for log canonical pairs",
  "authors": [
    "R. Svaldi"
  ],
  "comment": "18 pages; comments are welcome!",
  "categories": [
    "math.AG",
    "math.CV"
  ],
  "abstract": "Given a log canonical pair $(X, \\Delta)$, we prove that $K_X+\\Delta$ is nef assuming there is no non constant map from the projective line with values in the open strata of the stratification induced by the non klt locus of $\\Delta$. This implies a generalization of the Cone Theorem. Moreover, we give a criterion of Nakai type to determine when under the above condition $K_X+\\Delta$ is ample. We prove some partial results in the case of arbitrary singularities.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2014-10-09T16:57:02.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "14E30"
    ],
    "keywords": [
      "log canonical pair",
      "hyperbolicity",
      "non klt locus",
      "non constant map",
      "open strata"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 18,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2014arXiv1410.2529S"
    }
  }
}