{
  "id": "math/0005206",
  "version": "v1",
  "published": "2000-05-22T11:15:59.000Z",
  "updated": "2000-05-22T11:15:59.000Z",
  "title": "Integration with respect to Euler characteristic over the projectivization of the space of functions and the Alexander polynomial of a plane curve singularity",
  "authors": [
    "A. Campillo",
    "F. Delgado",
    "S. M. Gusein-Zade"
  ],
  "categories": [
    "math.AG",
    "math.GT"
  ],
  "abstract": "We discuss a notion of integration with respect to the Euler characteristic in the projectivization $\\P{\\cal O}_{\\C^n,0}$ of the ring ${\\cal O}_{\\C^n,0}$ of germs of functions on $C^n$ and show that the Alexander polynomial and the zeta-function of a plane curve singularity can be expressed as certain integrals over $\\P{\\cal O}_{\\C^2,0}$ with respect to the Euler characteristic.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2000-05-22T11:15:59.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "32S05",
      "14H20"
    ],
    "keywords": [
      "plane curve singularity",
      "euler characteristic",
      "alexander polynomial",
      "projectivization",
      "integration"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2000math......5206C"
    }
  }
}