{
  "id": "1302.2350",
  "version": "v3",
  "published": "2013-02-10T18:08:00.000Z",
  "updated": "2014-03-25T12:59:03.000Z",
  "title": "A characterization of varieties whose universal cover is a bounded symmetric domain without ball factors",
  "authors": [
    "Fabrizio Catanese",
    "Antonio José Di Scala"
  ],
  "comment": "11 pp + references. To appear in Advances in Mathematics",
  "categories": [
    "math.AG",
    "math.CV",
    "math.DG"
  ],
  "abstract": "We give two characterizations of varieties whose universal cover is a bounded symmetric domain without ball factors in terms of the existence of a holomorphic endomorphism \\s of the tensor product T\\otimes T' of the tangent bundle T with the cotangent bundle T'. To such a curvature type tensor \\s one associates the first Mok characteristic cone S, obtained by projecting on T the intersection of ker (\\s) with the space of rank 1 tensors. The simpler characterization requires that the projective scheme associated to S be a finite union of projective varieties of given dimensions and codimensions in their linear spans which must be skew and generate.",
  "revisions": [
    {
      "version": "v3",
      "updated": "2014-03-25T12:59:03.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "32Q30",
      "32N05",
      "32M15",
      "32Q20",
      "32J25",
      "14C30",
      "14G35",
      "53C35",
      "53C55"
    ],
    "keywords": [
      "bounded symmetric domain",
      "universal cover",
      "ball factors",
      "characterization",
      "first mok characteristic cone"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 11,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}