{
  "id": "1301.1168",
  "version": "v1",
  "published": "2013-01-07T12:29:05.000Z",
  "updated": "2013-01-07T12:29:05.000Z",
  "title": "The jump of the Milnor number in the X_9 singularity class",
  "authors": [
    "Szymon Brzostowski",
    "Tadeusz Krasinski"
  ],
  "comment": "10 pages",
  "categories": [
    "math.AG"
  ],
  "abstract": "The jump of the Milnor number of an isolated singularity $f_0$ is the minimal non-zero difference between the Milnor numbers of $f_0$ and one of its deformations $(f_s)).$ We prove that for the singularities in the $X_9$ singularity class their jumps are equal to 2.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2013-01-07T12:29:05.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "milnor number",
      "singularity class",
      "minimal non-zero difference",
      "isolated singularity"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 10,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2013arXiv1301.1168B"
    }
  }
}