{
  "id": "2207.08792",
  "version": "v1",
  "published": "2022-07-18T17:46:11.000Z",
  "updated": "2022-07-18T17:46:11.000Z",
  "title": "Cohomological invariants and Brauer groups of algebraic stacks in positive characteristic",
  "authors": [
    "Andrea Di Lorenzo",
    "Roberto Pirisi"
  ],
  "comment": "45 pages, comments welcome!",
  "categories": [
    "math.AG"
  ],
  "abstract": "We introduce a theory of cohomological invariants with mod $p$ coefficients for algebraic stacks in characteristic $p$. Using these new tools we complete the computation of the Brauer group and cohomological invariants of the stack of elliptic curves over any field.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2022-07-18T17:46:11.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "14D23",
      "14F22",
      "14H10",
      "14F43"
    ],
    "keywords": [
      "cohomological invariants",
      "algebraic stacks",
      "brauer group",
      "positive characteristic",
      "elliptic curves"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 45,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}