{
  "id": "1010.0282",
  "version": "v4",
  "published": "2010-10-02T01:23:20.000Z",
  "updated": "2011-05-25T10:30:03.000Z",
  "title": "Polynomials in one variable and ranks of certain tangent maps",
  "authors": [
    "Yuri G. Zarhin"
  ],
  "comment": "Remark 3.5 has been corrected/updated",
  "categories": [
    "math.AG",
    "math.DS"
  ],
  "abstract": "We study a map that sends a monic degree n complex polynomial f(x) without multiple roots to the collection of n values of its derivative at the roots of f(x). We give an answer to a question posed by Ju.S. Ilyashenko.",
  "revisions": [
    {
      "version": "v4",
      "updated": "2011-05-25T10:30:03.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "14A25",
      "37F10"
    ],
    "keywords": [
      "tangent maps",
      "complex polynomial",
      "multiple roots",
      "monic degree",
      "collection"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2010arXiv1010.0282Z"
    }
  }
}