{
  "id": "math/0012166",
  "version": "v1",
  "published": "2000-12-18T17:09:39.000Z",
  "updated": "2000-12-18T17:09:39.000Z",
  "title": "The cup product of the Hilbert scheme for K3 surfaces",
  "authors": [
    "Manfred Lehn",
    "Christoph Sorger"
  ],
  "comment": "22 pages",
  "categories": [
    "math.AG"
  ],
  "abstract": "To any graded Frobenius algebra A we associate a sequence of graded Frobenius algebras A^[n] in such a way that for any smooth projective surface X with trivial canonical divisor there is a canonical isomorphism of rings between (H*X)^[n] and the cohomology H*(X^[n]) of the n-th Hilbert scheme of X.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2000-12-18T17:09:39.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "14C05",
      "17B68",
      "17B69",
      "20C05"
    ],
    "keywords": [
      "cup product",
      "k3 surfaces",
      "graded frobenius algebra",
      "n-th hilbert scheme",
      "smooth projective surface"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 22,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2000math.....12166L"
    }
  }
}