{
  "id": "math/9904095",
  "version": "v1",
  "published": "1999-04-19T16:59:04.000Z",
  "updated": "1999-04-19T16:59:04.000Z",
  "title": "On the Cobordism Class of the Hilbert Scheme of a Surface",
  "authors": [
    "G. Ellingsrud",
    "L. Göttsche",
    "M. Lehn"
  ],
  "comment": "19 pages, Latex 2e",
  "categories": [
    "math.AG"
  ],
  "abstract": "Let S be a smooth projective surfaces and S^[n] the Hilbert scheme of zero-dimensional subschemes of S of length n. We proof that the class of S^[n] in the complex cobordism ring depends only on the class of the surface itself. Moreover, we compute the cohomology and holomorphic Euler characterisitcs of certain tautological sheaves on S^[n] and prove results on the general structure of certain integrals over polynomials in Chern classes of tautological sheaves.",
  "revisions": [
    {
      "version": "v1",
      "updated": "1999-04-19T16:59:04.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "14C05",
      "14Q10"
    ],
    "keywords": [
      "hilbert scheme",
      "cobordism class",
      "tautological sheaves",
      "holomorphic euler characterisitcs",
      "complex cobordism ring depends"
    ],
    "note": {
      "typesetting": "LaTeX",
      "pages": 19,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "1999math......4095E"
    }
  }
}