{
  "id": "math/0502116",
  "version": "v1",
  "published": "2005-02-06T16:30:32.000Z",
  "updated": "2005-02-06T16:30:32.000Z",
  "title": "ACC for log canonical thresholds and termination of log flips",
  "authors": [
    "Caucher Birkar"
  ],
  "comment": "6 pages",
  "categories": [
    "math.AG"
  ],
  "abstract": "We prove that the ascending chain condition (ACC) for log canonical (lc) thresholds in dimension $d$ and Special Termination in dimension $d$ imply the termination of any sequence of log flips starting with a $d$-dimensional lc pair of nonnegative Kodaira dimension. In particular, in characteristic zero, the latter termination in dimension 4 follows from Alexeev-Borisov's conjecture in dimension 3.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2005-02-06T16:30:32.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "log canonical thresholds",
      "log flips",
      "dimensional lc pair",
      "characteristic zero",
      "special termination"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 6,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2005math......2116B"
    }
  }
}