{
  "id": "1901.04722",
  "version": "v1",
  "published": "2019-01-15T09:20:24.000Z",
  "updated": "2019-01-15T09:20:24.000Z",
  "title": "Local triviality for G-torsors",
  "authors": [
    "Philippe Gille",
    "Raman Parimala",
    "Suresh Venapally"
  ],
  "categories": [
    "math.AG",
    "math.NT"
  ],
  "abstract": "Let C $\\rightarrow$ Spec(R) be a relative proper flat curve over an henselian base. Let G be a reductive C-group scheme. Under mild technical assumptions, we show that a G-torsor over C which is trivial on the closed fiber of C is locally trivial for the Zariski topology.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2019-01-15T09:20:24.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "local triviality",
      "relative proper flat curve",
      "zariski topology",
      "reductive c-group scheme",
      "mild technical assumptions"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}