{
  "id": "math/0310215",
  "version": "v1",
  "published": "2003-10-15T09:21:38.000Z",
  "updated": "2003-10-15T09:21:38.000Z",
  "title": "Poincare series and zeta function for an irreducible plane curve singularity",
  "authors": [
    "Jan Stevens"
  ],
  "comment": "7 pages",
  "categories": [
    "math.AG"
  ],
  "abstract": "The Poincare series of an irreducible plane curve singularity equals the zeta function of its monodromy, by a result of Campillo, Delgado and Gusein-Zade. We derive this fact from a formula of Ebeling and Gusein-Zade relating the Poincare series of a quasi-homogeneous complete intersection singularity to the Saito dual of a product of zeta functions.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2003-10-15T09:21:38.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "14B05",
      "32S40"
    ],
    "keywords": [
      "poincare series",
      "zeta function",
      "irreducible plane curve singularity equals",
      "quasi-homogeneous complete intersection singularity"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 7,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2003math.....10215S"
    }
  }
}