{
  "id": "1505.04967",
  "version": "v1",
  "published": "2015-05-19T12:36:23.000Z",
  "updated": "2015-05-19T12:36:23.000Z",
  "title": "Real Jacobian mates",
  "authors": [
    "Janusz Gwoździewicz"
  ],
  "categories": [
    "math.AG"
  ],
  "abstract": "Let $p$ be a real polynomial in two variables. We say that a polynomial $q$ is a real Jacobian mate of $p$ if the Jacobian determinant of the mapping $(p,q):\\mathbb{R}^2\\to\\mathbb{R}^2$ is everywhere positive. We present a class of polynomials that do not have real Jacobian mates.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2015-05-19T12:36:23.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "14R15"
    ],
    "keywords": [
      "real jacobian mate",
      "real polynomial",
      "jacobian determinant"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}