{
  "id": "1111.5826",
  "version": "v1",
  "published": "2011-11-24T17:54:06.000Z",
  "updated": "2011-11-24T17:54:06.000Z",
  "title": "A note on the definition of K-stability",
  "authors": [
    "Jacopo Stoppa"
  ],
  "comment": "2 pages",
  "categories": [
    "math.AG"
  ],
  "abstract": "As recently pointed out by Li and Xu, the definition of K-stability, and the author's proof of K-stability for cscK manifolds without holomorphic vector fields, need to be altered slightly: the Donaldson-Futaki invariant is positive for all test configurations which are not trivial in codimension 2.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2011-11-24T17:54:06.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "k-stability",
      "definition",
      "holomorphic vector fields",
      "donaldson-futaki invariant",
      "authors proof"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 2,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2011arXiv1111.5826S"
    }
  }
}