{
  "id": "2007.12461",
  "version": "v1",
  "published": "2020-07-24T11:47:51.000Z",
  "updated": "2020-07-24T11:47:51.000Z",
  "title": "On the obstruction to extending a vector bundle from a submanifold",
  "authors": [
    "Alexey V. Gavrilov"
  ],
  "comment": "4 pages",
  "categories": [
    "math.DG",
    "math.CV"
  ],
  "abstract": "For the first obstruction to extending a holomorphic vector bundle from a submanifold of a complex manifold found by Griffiths we give an explicit formula in terms of the Atiyah class of the bundle.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2020-07-24T11:47:51.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "32L05"
    ],
    "keywords": [
      "submanifold",
      "holomorphic vector bundle",
      "first obstruction",
      "atiyah class",
      "complex manifold"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 4,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}