{
  "id": "math/0501252",
  "version": "v1",
  "published": "2005-01-17T11:00:25.000Z",
  "updated": "2005-01-17T11:00:25.000Z",
  "title": "Zeta functions and Blow-Nash equivalence",
  "authors": [
    "Goulwen Fichou"
  ],
  "comment": "12 pages",
  "journal": "Annales Polonici Mathematici 87 (2005) 111-126",
  "categories": [
    "math.AG"
  ],
  "abstract": "We propose a refinement of the notion of blow-Nash equivalence between Nash function germs, which is an analog in the Nash setting of the blow-analytic equivalence defined by T.-C. Kuo. The new definition is more natural and geometric. Moreover, this equivalence relation still does not admit moduli for a Nash family of isolated singularities. Some previous invariants are no longer invariants for this new relation, however, thanks to a Denef & Loeser formula coming from motivic integration in a Nash setting, we managed to derive new invariants for this equivalence relation.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2005-01-17T11:00:25.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "14B05",
      "14P20",
      "14P25",
      "32S15"
    ],
    "keywords": [
      "blow-nash equivalence",
      "zeta functions",
      "equivalence relation",
      "nash function germs",
      "motivic integration"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 12,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2005math......1252F"
    }
  }
}