{
  "id": "1002.3774",
  "version": "v1",
  "published": "2010-02-19T16:49:00.000Z",
  "updated": "2010-02-19T16:49:00.000Z",
  "title": "Topology of hypersurface singularities with 3-dimensional critical set",
  "authors": [
    "Javier Fernandez de Bobadilla",
    "Miguel Angel Marco-Buzunariz"
  ],
  "comment": "40 pages, 3 figures",
  "categories": [
    "math.AG",
    "math.CV"
  ],
  "abstract": "In this paper, we prove that the Milnor fibre of a singularity over an i.c.i.s. of dimension 3 has the homotopy type of a bouquet of spheres, provided that the function that defines the singularity has finite extended codimension with respect to the ideal that defines the i.c.i.s.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2010-02-19T16:49:00.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "14J17",
      "32S25"
    ],
    "keywords": [
      "hypersurface singularities",
      "critical set",
      "singularity",
      "finite extended codimension",
      "homotopy type"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 40,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2010arXiv1002.3774F"
    }
  }
}