{
  "id": "0904.2824",
  "version": "v1",
  "published": "2009-04-18T06:34:00.000Z",
  "updated": "2009-04-18T06:34:00.000Z",
  "title": "On the Grothendieck groups of toric stacks",
  "authors": [
    "Zheng Hua"
  ],
  "comment": "6 pages",
  "categories": [
    "math.AG",
    "math.KT"
  ],
  "abstract": "In this note, we prove that the Grothendieck group of a smooth complete toric Deligne-Mumford stack is torsion free. This statement holds when the generic point is stacky. We also construct an example of open toric stack with torsion in K-theory. This is a part of the author's Ph.D thesis.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2009-04-18T06:34:00.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "grothendieck group",
      "smooth complete toric deligne-mumford stack",
      "open toric stack",
      "torsion free",
      "authors ph"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 6,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2009arXiv0904.2824H"
    }
  }
}