{
  "id": "1207.5036",
  "version": "v3",
  "published": "2012-07-20T19:40:44.000Z",
  "updated": "2013-06-10T16:36:26.000Z",
  "title": "Arc spaces of cA_1 singularities",
  "authors": [
    "János Kollár"
  ],
  "comment": "The paper is entirely superseded by arXiv:1306.1208",
  "categories": [
    "math.AG"
  ],
  "abstract": "Let p be a singular point of a complex hypersurface whose tangent cone is a quadric of rank at least 3. We show that the space of arcs through p is irreducible. Using a method of de Fernex, this shows that the Nash problem has a negative answer for x^2+y^2+z^2+t^5=0. Version 2: Several small corrections.",
  "revisions": [
    {
      "version": "v3",
      "updated": "2013-06-10T16:36:26.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "14E18",
      "14B05",
      "14J17",
      "14E15",
      "32S05"
    ],
    "keywords": [
      "arc spaces",
      "singularities",
      "singular point",
      "complex hypersurface",
      "tangent cone"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2012arXiv1207.5036K"
    }
  }
}