{
  "id": "1805.10411",
  "version": "v1",
  "published": "2018-05-26T02:01:13.000Z",
  "updated": "2018-05-26T02:01:13.000Z",
  "title": "Construction of negatively curved complete intersections",
  "authors": [
    "Jean-Paul Mohsen"
  ],
  "categories": [
    "math.AG",
    "math.DG"
  ],
  "abstract": "Using the Donaldson-Auroux theory, we construct complete intersections in complex projective manifolds, which are negatively curved in various ways. In particular, we prove the existence of compact simply connected K\\\"ahler manifolds with negative holomorphic bisectional curvature. We also construct hyperbolic hypersurfaces and we obtain bounds for their Kobayashi hyperbolic metric.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2018-05-26T02:01:13.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "negatively curved complete intersections",
      "construction",
      "construct complete intersections",
      "negative holomorphic bisectional curvature",
      "construct hyperbolic hypersurfaces"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}