{
  "id": "1203.2902",
  "version": "v1",
  "published": "2012-03-13T19:26:59.000Z",
  "updated": "2012-03-13T19:26:59.000Z",
  "title": "On orbits of the automorphism group on an affine toric variety",
  "authors": [
    "Ivan Arzhantsev",
    "Ivan Bazhov"
  ],
  "comment": "12 pages",
  "journal": "Cent. Eur. J. Math. 11 (2013), no. 10, 1713-1724",
  "doi": "10.2478/s11533-013-0273-1",
  "categories": [
    "math.AG"
  ],
  "abstract": "Let X be an affine toric variety. The total coordinates on X provide a canonical presentation of X as a quotient of a vector space by a linear action of a quasitorus. We prove that the orbits of the connected component of the automorphism group Aut(X) on X coincide with the Luna strata defined by the canonical quotient presentation.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2012-03-13T19:26:59.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "14M25",
      "14R20",
      "14J50",
      "14L30"
    ],
    "keywords": [
      "affine toric variety",
      "automorphism group aut",
      "total coordinates",
      "luna strata",
      "vector space"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 12,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2012arXiv1203.2902A"
    }
  }
}