{
  "id": "1808.01997",
  "version": "v1",
  "published": "2018-08-06T17:11:35.000Z",
  "updated": "2018-08-06T17:11:35.000Z",
  "title": "On the anticanonical complex",
  "authors": [
    "Christoff Hische",
    "Milena Wrobel"
  ],
  "comment": "17 pages, comments are welcome",
  "categories": [
    "math.AG"
  ],
  "abstract": "The anticanonical complex has been introduced as a natural generalisation of the toric Fano polytope and so far has been succesfully used for the study of varieties with a torus action of complexity one. In the present article we enlarge the area of application of the anticanonical complex to varieties with a torus action of higher complexity, for example, arrangement varieties.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2018-08-06T17:11:35.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "14L30",
      "14M25",
      "14B05",
      "14J45"
    ],
    "keywords": [
      "anticanonical complex",
      "torus action",
      "toric fano polytope",
      "arrangement varieties",
      "higher complexity"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 17,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}