{
  "id": "1012.2682",
  "version": "v5",
  "published": "2010-12-13T10:26:25.000Z",
  "updated": "2013-02-07T14:35:44.000Z",
  "title": "Finite Symplectic Actions on the K3 Lattice",
  "authors": [
    "Kenji Hashimoto"
  ],
  "comment": "46 pages. #13, #19, #25 and #37 in Table 10.2, and #62 in Table 10.3 were corrected",
  "categories": [
    "math.AG"
  ],
  "abstract": "In this paper, we study finite symplectic actions on K3 surfaces X, i.e. actions of finite groups G on X which act on H^{2,0}(X) trivially. We show that the action on the K3 lattice H^2(X,Z) induced by a symplectic action of G on X depends only on G up to isomorphism, except for five groups.",
  "revisions": [
    {
      "version": "v5",
      "updated": "2013-02-07T14:35:44.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "14J28",
      "11H56"
    ],
    "keywords": [
      "k3 lattice",
      "study finite symplectic actions",
      "k3 surfaces",
      "finite groups",
      "isomorphism"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 46,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2010arXiv1012.2682H"
    }
  }
}