{
  "id": "1406.0886",
  "version": "v2",
  "published": "2014-06-03T21:49:03.000Z",
  "updated": "2014-12-02T16:13:39.000Z",
  "title": "A system of polynomial equations related to the Jacobian Conjecture",
  "authors": [
    "Jorge A. Guccione",
    "Juan José Guccione",
    "Christian Valqui"
  ],
  "comment": "26 pages, Proposition 4.3 is new",
  "categories": [
    "math.AG",
    "math.AC"
  ],
  "abstract": "We prove that the Jacobian conjecture is false if and only if there exists a solution to a certain system of polynomial equations. We analyse the solution set of this system. In particular we prove that it is zero dimensional.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2014-06-03T21:49:03.000Z",
      "comment": "26 pages",
      "journal": null,
      "doi": null
    },
    {
      "version": "v2",
      "updated": "2014-12-02T16:13:39.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "14R15"
    ],
    "keywords": [
      "polynomial equations",
      "jacobian conjecture",
      "solution set",
      "zero dimensional"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 26,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2014arXiv1406.0886G"
    }
  }
}