{
  "id": "1809.00545",
  "version": "v1",
  "published": "2018-09-03T10:51:48.000Z",
  "updated": "2018-09-03T10:51:48.000Z",
  "title": "On the connectivity of Milnor fiber for mixed functions",
  "authors": [
    "Mutsuo Oka"
  ],
  "comment": "7 pages, 1 figure",
  "categories": [
    "math.AG"
  ],
  "abstract": "In this note, we prove the connectivity of the Milnor fiber for a mixed polynomial $f(\\mathbf z,\\bar{\\mathbf z})$, assuming the existence of a sequence of smooth points of $f^{-1}(0)$ converging to the origin. This result gives also a another proof for the connectivity of the Milnor fiber of a non-reduced complex analytic function which is proved by A. Dimca",
  "revisions": [
    {
      "version": "v1",
      "updated": "2018-09-03T10:51:48.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "14J17"
    ],
    "keywords": [
      "milnor fiber",
      "mixed functions",
      "connectivity",
      "non-reduced complex analytic function",
      "smooth points"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 7,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}