{
  "id": "0901.0369",
  "version": "v3",
  "published": "2009-01-04T12:03:26.000Z",
  "updated": "2009-09-03T19:37:02.000Z",
  "title": "On Cox rings of K3-surfaces",
  "authors": [
    "Michela Artebani",
    "Juergen Hausen",
    "Antonio Laface"
  ],
  "comment": "minor corrections, to appear in Compositio Mathematica, 32 pages",
  "journal": "Compos. Math. 146 (2010), no. 4, 964-998",
  "doi": "10.1112/S0010437X09004576",
  "categories": [
    "math.AG"
  ],
  "abstract": "We study Cox rings of K3-surfaces. A first result is that a K3-surface has a finitely generated Cox ring if and only if its effective cone is polyhedral. Moreover, we investigate degrees of generators and relations for Cox rings of K3-surfaces of Picard number two, and explicitly compute the Cox rings of generic K3-surfaces with a non-symplectic involution that have Picard number 2 to 5 or occur as double covers of del Pezzo surfaces.",
  "revisions": [
    {
      "version": "v3",
      "updated": "2009-09-03T19:37:02.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "14J28",
      "14C20"
    ],
    "keywords": [
      "picard number",
      "study cox rings",
      "del pezzo surfaces",
      "first result",
      "generic k3-surfaces"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 32,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2009arXiv0901.0369A"
    }
  }
}