{
  "id": "0902.0601",
  "version": "v3",
  "published": "2009-02-03T20:49:02.000Z",
  "updated": "2010-05-11T19:35:01.000Z",
  "title": "Symplectic automorphisms and the Picard group of a K3 surface",
  "authors": [
    "Ursula Whitcher"
  ],
  "comment": "10 pages; improved exposition in Section 3. To appear in Communications in Algebra.",
  "categories": [
    "math.AG"
  ],
  "abstract": "We consider the symplectic action of a finite group G on a K3 surface. The Picard group of the K3 surface has a primitive sublattice determined by G. We show how to compute the rank and discriminant of this sublattice. We then describe moduli spaces of K3 surfaces with symplectic G-action, extending results of Nikulin in the abelian case. We use our moduli spaces to develop techniques for classifying all possible symplectic actions of a group G.",
  "revisions": [
    {
      "version": "v3",
      "updated": "2010-05-11T19:35:01.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "14J28"
    ],
    "keywords": [
      "k3 surface",
      "picard group",
      "symplectic automorphisms",
      "symplectic action",
      "moduli spaces"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 10,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2009arXiv0902.0601W"
    }
  }
}