{
  "id": "2012.12833",
  "version": "v1",
  "published": "2020-12-23T17:52:54.000Z",
  "updated": "2020-12-23T17:52:54.000Z",
  "title": "Smoothness of cohomology sheaves of stacks of shtukas",
  "authors": [
    "Cong Xue"
  ],
  "categories": [
    "math.AG",
    "math.NT"
  ],
  "abstract": "We prove, for all reductive groups, that the cohomology sheaves with compact support of stacks of shtukas are ind-smooth over $(X - N)^I$ and that their geometric generic fibers are equiped with an action of $\\text{Weil}(X - N, \\overline{\\eta})^I$. Our method does not use any compactification of stacks of shtukas.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2020-12-23T17:52:54.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "cohomology sheaves",
      "smoothness",
      "geometric generic fibers",
      "compact support",
      "reductive groups"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}