{
  "id": "1110.4275",
  "version": "v2",
  "published": "2011-10-19T13:20:22.000Z",
  "updated": "2012-01-12T08:57:02.000Z",
  "title": "On orbits of the automorphism group on a complete toric variety",
  "authors": [
    "Ivan Bazhov"
  ],
  "comment": "10 pages, 4 figures",
  "doi": "10.1007/s13366-011-0084-0",
  "categories": [
    "math.AG"
  ],
  "abstract": "Let X be a complete toric variety and Aut(X) be the automorphism group. We give an explit description of Aut(X)-orbits on X. In particular, we show that Aut(X) acts on X transitively if and only if X is a product of projective spaces.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2012-01-12T08:57:02.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "14M25",
      "14L30"
    ],
    "keywords": [
      "complete toric variety",
      "automorphism group",
      "explit description",
      "projective spaces"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 10,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2011arXiv1110.4275B"
    }
  }
}