{
  "id": "math/0107185",
  "version": "v1",
  "published": "2001-07-25T14:18:45.000Z",
  "updated": "2001-07-25T14:18:45.000Z",
  "title": "Interpolation of characteristic classes of singular hypersurfaces",
  "authors": [
    "Paolo Aluffi",
    "Jean-Paul Brasselet"
  ],
  "comment": "10 pages",
  "journal": "Adv. Math. 180 (2003), no. 2, 692-704",
  "doi": "10.1016/S0001-8708(03)00017-3",
  "categories": [
    "math.AG"
  ],
  "abstract": "We show that the Chern-Schwartz-MacPherson class of a hypersurface X in a nonsingular variety M `interpolates' between two other notions of characteristic classes for singular varieties, provided that the singular locus of X is smooth and that certain numerical invariants of X are constant along this locus. This allows us to define a lift of the Chern-Schwartz-MacPherson class of such `nice' hypersurfaces to intersection homology. As another application, the interpolation result leads to an explicit formula for the Chern-Schwartz-MacPherson class of X in terms of its polar classes.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2001-07-25T14:18:45.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "14C17",
      "57R20",
      "32C40"
    ],
    "keywords": [
      "characteristic classes",
      "singular hypersurfaces",
      "chern-schwartz-macpherson class",
      "explicit formula",
      "nonsingular variety"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 10,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2001math......7185A"
    }
  }
}