{
  "id": "math/0004138",
  "version": "v1",
  "published": "2000-04-21T08:15:43.000Z",
  "updated": "2000-04-21T08:15:43.000Z",
  "title": "Bound of automorphisms of projective varieties of general type",
  "authors": [
    "Hajime Tsuji"
  ],
  "comment": "24pages",
  "categories": [
    "math.AG"
  ],
  "abstract": "We prove that there exists a positive number $C_{n}$ depending only on $n$ such that for every smooth projective $n$-fold of general type $X$ defined over {\\bf C}, the automorphism group $Aut(X)$ satisfies the inequality $\\sharp{Aut}(X)\\leq C_{n}\\cdot\\mu (X,K_{X})$, where $\\mu (X,K_{X})$ is the volume of $X$ with respect to $K_{X}$.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2000-04-21T08:15:43.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "14E05",
      "32J25"
    ],
    "keywords": [
      "general type",
      "projective varieties",
      "automorphism group",
      "positive number"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 24,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2000math......4138T"
    }
  }
}