{
  "id": "1305.6411",
  "version": "v2",
  "published": "2013-05-28T08:42:06.000Z",
  "updated": "2013-07-16T02:52:04.000Z",
  "title": "A remark on Li-Xu's pathology",
  "authors": [
    "Toshiki Mabuchi"
  ],
  "categories": [
    "math.DG"
  ],
  "abstract": "For test configurations, the Donaldson-Futaki invariant F_1 is well-known. In this note, its refinement will be discussed. Then we see that Li-Xu's pathology doesn't occur, since their example of a non-normal test configuration, with trivial normalization, actually has non-vanishing F_1 in this refined sense.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2013-07-16T02:52:04.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "32Q26",
      "14L24",
      "53C25"
    ],
    "keywords": [
      "li-xus pathology",
      "non-normal test configuration",
      "donaldson-futaki invariant",
      "trivial normalization",
      "well-known"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2013arXiv1305.6411M"
    }
  }
}