{
  "id": "math/0309316",
  "version": "v2",
  "published": "2003-09-19T11:29:39.000Z",
  "updated": "2005-03-14T13:49:13.000Z",
  "title": "Topological equivalence of complex polynomials",
  "authors": [
    "Arnaud Bodin",
    "Mihai Tibar"
  ],
  "comment": "14 pages, revised text for final version",
  "journal": "Adv. Math. 199 (2006), no.1, 136-150.",
  "doi": "10.1016/j.aim.2005.03.003",
  "categories": [
    "math.AG",
    "math.GT"
  ],
  "abstract": "The following numerical control over the topological equivalence is proved: two complex polynomials in $n\\not= 3$ variables and with isolated singularities are topologically equivalent if one deforms into the other by a continuous family of polynomial functions $f_s \\colon \\mathbb{C}^n \\to \\mathbb{C}$ with isolated singularities such that the degree, the number of vanishing cycles and the number of atypical values are constant in the family.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2005-03-14T13:49:13.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "complex polynomials",
      "topological equivalence",
      "isolated singularities",
      "polynomial functions",
      "topologically equivalent"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "publisher": "Elsevier",
      "journal": "Adv. Math."
    },
    "note": {
      "typesetting": "TeX",
      "pages": 14,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2003math......9316B"
    }
  }
}