{
  "id": "1711.07169",
  "version": "v1",
  "published": "2017-11-20T06:36:54.000Z",
  "updated": "2017-11-20T06:36:54.000Z",
  "title": "A characterization of finite vector bundles on Gauduchon astheno-Kahler manifolds",
  "authors": [
    "Indranil Biswas",
    "Vamsi Pritham Pingali"
  ],
  "comment": "10 pages. Comments are most welcome",
  "categories": [
    "math.AG",
    "math.DG"
  ],
  "abstract": "A vector bundle on a projective variety X is called finite if it satisfies a nontrivial polynomial equation with integral coefficients. Nori proved that a vector bundle E on X is finite if and only if the pullback of E to some finite etale Galois covering of X is trivial. We prove the same statement when X is a compact complex manifold admitting a Gauduchon astheno-Kahler metric.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2017-11-20T06:36:54.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "finite vector bundles",
      "gauduchon astheno-kahler manifolds",
      "characterization",
      "nontrivial polynomial equation",
      "gauduchon astheno-kahler metric"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 10,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}