{
  "id": "1203.5616",
  "version": "v9",
  "published": "2012-03-26T09:57:34.000Z",
  "updated": "2013-09-22T15:32:21.000Z",
  "title": "Orders of automorphisms of K3 surfaces",
  "authors": [
    "JongHae Keum"
  ],
  "comment": "43 pages",
  "categories": [
    "math.AG"
  ],
  "abstract": "We determine all posible orders of automorphisms of finite order of complex K3 surfaces or of K3 surfaces in characteristic $p>3$. E.g., a positive integer $N$ is the order of an automorphism of a complex K3 surface if and only if $\\phi(N)\\le 20$ where $\\phi$ is the Euler function. In particular, 66 is the maximum finite order in each characteristic $p\\neq 2,3$. As a consequence, we give a bound for the orders of finite groups acting on K3 surfaces in characteristic $p>7$.",
  "revisions": [
    {
      "version": "v9",
      "updated": "2013-09-22T15:32:21.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "14J28",
      "14J50"
    ],
    "keywords": [
      "complex k3 surface",
      "automorphism",
      "characteristic",
      "maximum finite order",
      "euler function"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 43,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2012arXiv1203.5616K"
    }
  }
}