{
  "id": "1808.08420",
  "version": "v1",
  "published": "2018-08-25T12:18:50.000Z",
  "updated": "2018-08-25T12:18:50.000Z",
  "title": "K-stability, Futaki invariants and cscK metrics on orbifold resolutions",
  "authors": [
    "Claudio Arezzo",
    "Alberto Della Vedova",
    "Lorenzo Mazzieri"
  ],
  "comment": "18 pages",
  "categories": [
    "math.DG",
    "math.AP"
  ],
  "abstract": "In this paper we compute the Futaki invariant of adiabatic Kaehler classes on resolutions of Kaehler orbifolds with isolated singularities. Combined with previous existence results of extremal metrics by Arezzo-Lena-Mazzieri, this gives a number of new existence and non-existence results for cscK metrics.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2018-08-25T12:18:50.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "53C55",
      "32Q15"
    ],
    "keywords": [
      "csck metrics",
      "futaki invariant",
      "orbifold resolutions",
      "k-stability",
      "adiabatic kaehler classes"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 18,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}