{
  "id": "math/0108118",
  "version": "v1",
  "published": "2001-08-17T17:17:53.000Z",
  "updated": "2001-08-17T17:17:53.000Z",
  "title": "Effective freeness of adjoint line bundles",
  "authors": [
    "Gordon Heier"
  ],
  "comment": "13 pages, AMS-LaTeX",
  "categories": [
    "math.AG"
  ],
  "abstract": "In this note we establish a new Fujita-type effective bound for the base point freeness of adjoint line bundles on a compact complex projective manifold of complex dimension $n$. The bound we obtain (approximately) differs from the linear bound conjectured by Fujita only by a factor of the cube root of $n$. As an application, a new effective statement for pluricanonical embeddings is derived.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2001-08-17T17:17:53.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "14C20",
      "14F17",
      "14B05"
    ],
    "keywords": [
      "adjoint line bundles",
      "effective freeness",
      "base point freeness",
      "compact complex projective manifold",
      "fujita-type effective bound"
    ],
    "note": {
      "typesetting": "LaTeX",
      "pages": 13,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2001math......8118H"
    }
  }
}