{
  "id": "1102.4860",
  "version": "v1",
  "published": "2011-02-23T21:22:24.000Z",
  "updated": "2011-02-23T21:22:24.000Z",
  "title": "Equidistribution of periodic points of some automorphisms on K3 surfaces",
  "authors": [
    "Chong Gyu Lee"
  ],
  "categories": [
    "math.NT",
    "math.DS"
  ],
  "abstract": "We say (W, \\{\\phi_1,..., \\phi_t\\}) is a polarizable dynamical system of several morphisms if \\phi_i are endomorphisms on a projective variety $W$ such that \\bigotimes \\phi_i^*L is linearly equivalent to L^q} for some ample line bundle L on W and for some q>t. If q is a rational number, then we have the equidistribution of small points of given dynamical system because of Yuan's work. As its application, we can build a polarizable dynamical system of an automorphism and its inverse on $K3$ surface and show its periodic points are equidistributed.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2011-02-23T21:22:24.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "periodic points",
      "k3 surfaces",
      "automorphism",
      "equidistribution",
      "polarizable dynamical system"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2011arXiv1102.4860L"
    }
  }
}