{
  "id": "math/0506608",
  "version": "v1",
  "published": "2005-06-29T19:26:25.000Z",
  "updated": "2005-06-29T19:26:25.000Z",
  "title": "Celestial integration, stringy invariants, and Chern-Schwartz-MacPherson classes",
  "authors": [
    "Paolo Aluffi"
  ],
  "comment": "11 pages, LaTeX",
  "journal": "Real and complex singularities, 1-13, Trends Math., Birk\\\"auser, Basel, 2007",
  "doi": "10.1007/978-3-7643-7776-2_1",
  "categories": [
    "math.AG"
  ],
  "abstract": "We introduce a formal integral on the system of varieties mapping properly and birationally to a given one, with value in an associated Chow group. Applications include comparisons of Chern numbers of birational varieties, new birational invariants, `stringy' Chern classes, and a `celestial' zeta function specializing to the topological zeta function. In its simplest manifestation, the integral gives a new expression for Chern-Schwartz-MacPherson classes of possibly singular varieties, placing them into a context in which a `change of variable' formula holds. The formalism has points of contact with motivic integration.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2005-06-29T19:26:25.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "14C17",
      "14B05",
      "57R20"
    ],
    "keywords": [
      "chern-schwartz-macpherson classes",
      "celestial integration",
      "stringy invariants",
      "motivic integration",
      "possibly singular varieties"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "LaTeX",
      "pages": 11,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2005math......6608A"
    }
  }
}