{
  "id": "1509.06425",
  "version": "v1",
  "published": "2015-09-21T23:10:31.000Z",
  "updated": "2015-09-21T23:10:31.000Z",
  "title": "Triviality properties of principal bundles on singular curves",
  "authors": [
    "Prakash Belkale",
    "Najmuddin Fakhruddin"
  ],
  "comment": "11 pages, no figures",
  "categories": [
    "math.AG",
    "math.RT"
  ],
  "abstract": "We show that principal bundles for a semisimple group on an arbitrary affine curve over an algebraically closed field are trivial, provided the order of $\\pi_1$ of the group is invertible in the ground field, or if the curve has semi-normal singularities. Several consequences and extensions of this result (and method) are given.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2015-09-21T23:10:31.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "14D20",
      "14H60",
      "14H20"
    ],
    "keywords": [
      "principal bundles",
      "singular curves",
      "triviality properties",
      "arbitrary affine curve",
      "ground field"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 11,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2015arXiv150906425B"
    }
  }
}