{
  "id": "math/0008169",
  "version": "v2",
  "published": "2000-08-22T15:53:46.000Z",
  "updated": "2000-12-25T15:41:00.000Z",
  "title": "On kth-order embeddings of K3 surfaces and Enriques surfaces",
  "authors": [
    "Andreas Leopold Knutsen"
  ],
  "comment": "23 pages, 0 figures, slightly improved version (Section 4), added references, to appear in Manuscr. Math",
  "categories": [
    "math.AG"
  ],
  "abstract": "We give necessary and sufficient conditions for a big and nef line bundle L of any degree on a K3 surface or Enriques surface to be k-very ample and k-spanned. Furthermore, we give necessary and sufficient conditions for a spanned and big line bundle on a K3 surface to be birationally k-very ample and birationally k-spanned, and relate these concepts to the Clifford index and gonality of smooth curves in |L|.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2000-12-25T15:41:00.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "14J28"
    ],
    "keywords": [
      "k3 surface",
      "enriques surface",
      "kth-order embeddings",
      "sufficient conditions",
      "k-very ample"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 23,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2000math......8169L"
    }
  }
}