{
  "id": "1207.2382",
  "version": "v3",
  "published": "2012-07-10T15:06:35.000Z",
  "updated": "2013-07-02T18:44:38.000Z",
  "title": "On the order of the automorphism group of foliations",
  "authors": [
    "Maurício Corrêa Jr",
    "Thiago Fassarella"
  ],
  "comment": "8 pages",
  "categories": [
    "math.AG",
    "math.CV"
  ],
  "abstract": "Let $\\mathcal F$ be a holomorphic foliation with ample canonical bundle on a smooth projective surface $X$. We obtain an upper bound on the order of its automorphism group which depends only on $K_{\\mathcal F}^2$ and $K_{\\mathcal F}K_{X}$, provided this group is finite. Here, $K_{\\mathcal F}$ and $K_{X}$ are the canonical bundles of $\\mathcal F$ and $X$, respectively.",
  "revisions": [
    {
      "version": "v3",
      "updated": "2013-07-02T18:44:38.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "14E05",
      "34M45"
    ],
    "keywords": [
      "automorphism group",
      "smooth projective surface",
      "ample canonical bundle",
      "upper bound"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 8,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2012arXiv1207.2382C"
    }
  }
}