{
  "id": "2006.08987",
  "version": "v1",
  "published": "2020-06-16T08:32:16.000Z",
  "updated": "2020-06-16T08:32:16.000Z",
  "title": "Localizing the Donaldson-Futaki invariant",
  "authors": [
    "Eveline Legendre"
  ],
  "categories": [
    "math.DG"
  ],
  "abstract": "We use the equivariant localization formula to prove that the Donaldson-Futaki invariant of a compact smooth (K{\\\"a}hler) test configuration coincides with the Futaki invariant of the induced action on the central fiber when this fiber is smooth or have orbifold singularities. We also localize the Donaldson-Futaki invariant of the deformation to the normal cone.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2020-06-16T08:32:16.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "donaldson-futaki invariant",
      "equivariant localization formula",
      "test configuration coincides",
      "compact smooth",
      "localizing"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}