{
  "id": "math/9909021",
  "version": "v10",
  "published": "1999-09-03T07:44:05.000Z",
  "updated": "2004-09-09T05:19:07.000Z",
  "title": "Pluricanonical systems of projective varieties of general type",
  "authors": [
    "Hajime Tsuji"
  ],
  "comment": "27pages, rewritten so that algebraists can read easily",
  "categories": [
    "math.AG"
  ],
  "abstract": "We prove that there exists a positive integer $\\nu_{n}$ depending only on $n$ such that for every smooth projective $n$-fold of general type $X$ defined over {\\bf C}, $\\mid mK_{X}\\mid$ gives a birational rational map from $X$ into a projective space for every $m\\geq \\nu_{n}$. This theorem gives an affirmative answer to Severi's conjecture. The key ingredients of the proof are the theory of AZD which was originated by the aurhor and the subadjunction formula for AZD's of logcanoncial divisors.",
  "revisions": [
    {
      "version": "v10",
      "updated": "2004-09-09T05:19:07.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "32J25"
    ],
    "keywords": [
      "general type",
      "projective varieties",
      "pluricanonical systems",
      "birational rational map",
      "severis conjecture"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 27,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "1999math......9021T"
    }
  }
}