{
  "id": "1411.1298",
  "version": "v1",
  "published": "2014-11-05T15:40:47.000Z",
  "updated": "2014-11-05T15:40:47.000Z",
  "title": "The Milnor fiber of the singularity f(x,y) + zg(x,y) = 0",
  "authors": [
    "Baldur Sigurðsson"
  ],
  "comment": "13 pages",
  "categories": [
    "math.AG"
  ],
  "abstract": "We give a description of the Milnor fiber and the monodromy of a singularity of the form f+zg = 0 where f and g define plane curves and have no common components. The description depends only on the topological type of the two plane curve germs defined by f and g. In particular, this gives a description of the boundary of the Milnor fiber. As a corollary, we give a simple formula for the monodromy zeta function and the Euler characteristic of the fiber.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2014-11-05T15:40:47.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "32S05",
      "32S25",
      "32S55",
      "58K10",
      "14Bxx",
      "32Sxx"
    ],
    "keywords": [
      "milnor fiber",
      "singularity",
      "define plane curves",
      "monodromy zeta function",
      "euler characteristic"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 13,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}