{
  "id": "math/0409419",
  "version": "v1",
  "published": "2004-09-22T08:51:38.000Z",
  "updated": "2004-09-22T08:51:38.000Z",
  "title": "Group Actions, Cyclic Coverings and Families of K3-Surfaces",
  "authors": [
    "Alessandra Sarti"
  ],
  "comment": "21 pages",
  "categories": [
    "math.AG"
  ],
  "abstract": "In this paper we describe six pencils of K3-surfaces which have large Picard-Number and contain precisely five singular fibers: four have A-D-E singularities and one is non-reduced. In particular we describe these surfaces as cyclic coverings of the K3-surfaces which Barth and the author described in a previous manuscript (Asian. J. of Math. Vol. 7, No. 4, 519-538, Dec. 2003). In many cases using this description and lattice-Theory we are able to compute the exact Picard-number and to describe explicitly the Picard-lattices.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2004-09-22T08:51:38.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "14J28",
      "14L30",
      "14E20",
      "14C22"
    ],
    "keywords": [
      "cyclic coverings",
      "group actions",
      "k3-surfaces",
      "singular fibers",
      "large picard-number"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 21,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2004math......9419S"
    }
  }
}