{
  "id": "math/0006166",
  "version": "v1",
  "published": "2000-06-22T07:56:36.000Z",
  "updated": "2000-06-22T07:56:36.000Z",
  "title": "Effective birationality of pluricanonical systems",
  "authors": [
    "Hajime Tsuji"
  ],
  "comment": "25pages",
  "categories": [
    "math.AG"
  ],
  "abstract": "This is a sequal paper to math.AG/9909021. By using the theory of AZD originated by the author, I prove that for every smooth projective $n$-fold $X$ of general type and every \\[ m\\geq \\lceil\\sum_{\\ell =1}^{n}\\sqrt[\\ell]{2} \\ell\\rceil +1, \\] $\\mid mK_{X}\\mid$ gives a birational rational map from $X$ into a projective space, unless it has a nontrivial (relative dimension is positive) rational fiber space structure whose general fiber is birational to a variety of relatively low degree in a projective space.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2000-06-22T07:56:36.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "32J25"
    ],
    "keywords": [
      "pluricanonical systems",
      "effective birationality",
      "rational fiber space structure",
      "projective space",
      "birational rational map"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 25,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2000math......6166T"
    }
  }
}