{
  "id": "1105.4156",
  "version": "v1",
  "published": "2011-05-15T21:04:16.000Z",
  "updated": "2011-05-15T21:04:16.000Z",
  "title": "On a paper by Y.G.Zarhin",
  "authors": [
    "Elmer Rees"
  ],
  "comment": "3 pages; Comments on: Polynomials in one variable and ranks of certain tangent maps, arXiv:1010.0282",
  "categories": [
    "math.AG",
    "math.DS"
  ],
  "abstract": "Zarhin showed that a matrix constructed from a polynomial with distinct roots has co-rank one. Some striking properties of this matrix are used to give a direct proof of his result. An account is given of calculations carried out to try to understand the analogous matrix for a polynomial with multiple roots and a conjecture about its rank is stated.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2011-05-15T21:04:16.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "polynomial",
      "multiple roots",
      "distinct roots",
      "direct proof",
      "calculations"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 3,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2011arXiv1105.4156R"
    }
  }
}