{
  "id": "math/0504266",
  "version": "v2",
  "published": "2005-04-13T07:45:42.000Z",
  "updated": "2005-12-14T08:58:24.000Z",
  "title": "Kodaira dimension of subvarieties II",
  "authors": [
    "Thomas Peternell"
  ],
  "comment": "11 pages, final version, to appear in International Journal of Math",
  "categories": [
    "math.AG"
  ],
  "abstract": "This paper continues the study of non-general type subvarieties begun in a joint paper with M.Schneider and A.Sommese (Int.L.Math. 10, 1999). We prove uniruledness of a projective manifold containing a submanifold not of general type whose normal bundle has positivity properties and moreover study the rational quotient. We also relate the fundamental groups and prove a cohomological criterion for a manifold to be rationally connected.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2005-12-14T08:58:24.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "14E30",
      "14J40"
    ],
    "keywords": [
      "kodaira dimension",
      "non-general type subvarieties begun",
      "fundamental groups",
      "paper continues",
      "joint paper"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 11,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2005math......4266P"
    }
  }
}