{
  "id": "math/0208219",
  "version": "v2",
  "published": "2002-08-28T14:15:00.000Z",
  "updated": "2002-09-02T14:26:35.000Z",
  "title": "On a stratification defined by real roots of polynomials",
  "authors": [
    "Vladimir Petrov Kostov"
  ],
  "journal": "Serdica Math. J. 29, No. 2 (2003), 177-186",
  "categories": [
    "math.AG"
  ],
  "abstract": "We consider the family of polynomials $P(x,a)=x^n+a_1x^{n-1}+... +a_n$, $x,a_i\\in {\\bf R}$, and the stratification of ${\\bf R}^n\\cong \\{(a_1,... ,a_n)|a_i\\in {\\bf R}\\}$ defined by the multiplicity vector of the real roots of $P$. We prove smoothness of the strata and a transversality property of their tangent spaces.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2002-09-02T14:26:35.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "real roots",
      "stratification",
      "polynomials",
      "multiplicity vector"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2002math......8219P"
    }
  }
}