{
  "id": "math/0209405",
  "version": "v1",
  "published": "2002-09-30T09:06:06.000Z",
  "updated": "2002-09-30T09:06:06.000Z",
  "title": "Demushkin's Theorem in Codimension One",
  "authors": [
    "Florian Berchtold",
    "Juergen Hausen"
  ],
  "comment": "6 pages, to appear in Math. Z",
  "journal": "Math. Z. 244, No. 4, 697-703 (2003)",
  "categories": [
    "math.AG",
    "math.AC"
  ],
  "abstract": "Demushkin's Theorem says that any two toric structures on an affine variety X are conjugate in the automorphism group of X. We provide the following extension: Let an (n-1)-dimensional torus T act effectively on an n-dimensional affine toric variety X. Then T is conjugate in the automorphism group of X to a subtorus of the big torus of X.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2002-09-30T09:06:06.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "13A50",
      "14L30",
      "14M25",
      "14R20"
    ],
    "keywords": [
      "codimension",
      "n-dimensional affine toric variety",
      "automorphism group",
      "demushkins theorem says",
      "affine variety"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 6,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2002math......9405B"
    }
  }
}