{
  "id": "1110.2541",
  "version": "v2",
  "published": "2011-10-12T01:05:13.000Z",
  "updated": "2012-06-04T00:40:04.000Z",
  "title": "On the ACC for lengths of extremal rays",
  "authors": [
    "Osamu Fujino",
    "Yasuhiro Ishitsuka"
  ],
  "comment": "12 pages, v2: revision following referee's comments",
  "categories": [
    "math.AG"
  ],
  "abstract": "We discuss the ascending chain condition for lengths of extremal rays. We prove that the lengths of extremal rays of $n$-dimensional $\\mathbb Q$-factorial toric Fano varieties with Picard number one satisfy the ascending chain condition.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2012-06-04T00:40:04.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "14M25",
      "14E30"
    ],
    "keywords": [
      "extremal rays",
      "ascending chain condition",
      "factorial toric fano varieties",
      "picard number",
      "dimensional"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 12,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2011arXiv1110.2541F"
    }
  }
}