{
  "id": "2201.10851",
  "version": "v1",
  "published": "2022-01-26T10:21:14.000Z",
  "updated": "2022-01-26T10:21:14.000Z",
  "title": "Group actions on local moduli space of holomorphic vector bundles",
  "authors": [
    "An Khuong Doan"
  ],
  "comment": "15 pages, 1 figure",
  "categories": [
    "math.AG",
    "math.CV"
  ],
  "abstract": "We prove that actions of complex reductive Lie groups on a holomorphic vector bundle over a complex compact manifold are locally extendable to its local moduli space.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2022-01-26T10:21:14.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "14D15",
      "14B10"
    ],
    "keywords": [
      "local moduli space",
      "holomorphic vector bundle",
      "group actions",
      "complex compact manifold",
      "complex reductive lie groups"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 15,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}