{
  "id": "1606.04392",
  "version": "v1",
  "published": "2016-06-14T14:34:15.000Z",
  "updated": "2016-06-14T14:34:15.000Z",
  "title": "On the Brauer group of a product",
  "authors": [
    "Cristian D. Gonzalez-Aviles"
  ],
  "comment": "29 pages",
  "categories": [
    "math.AG",
    "math.NT"
  ],
  "abstract": "We introduce the relative units-Picard complex of an arbitrary morphism of schemes and apply it to the problem of describing the (cohomological) Brauer group of a (fiber) product of schemes in terms of the Brauer groups of the factors. Under certain hypotheses, we obtain a five-term exact sequence involving the preceding groups which enables us to solve the indicated problem in the case of, e.g., (certain types of) ruled varieties.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2016-06-14T14:34:15.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "14F22",
      "14F20"
    ],
    "keywords": [
      "brauer group",
      "five-term exact sequence",
      "arbitrary morphism",
      "relative units-picard complex",
      "hypotheses"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 29,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}