{
  "id": "1905.11869",
  "version": "v1",
  "published": "2019-05-28T15:08:25.000Z",
  "updated": "2019-05-28T15:08:25.000Z",
  "title": "Cohomology and the Brauer groups of diagonal surfaces",
  "authors": [
    "Damián Gvirtz",
    "Alexei N. Skorobogatov"
  ],
  "comment": "36 pages. Appendices A and B containing results of computer computations can be found in the full version of the paper, available at http://wwwf.imperial.ac.uk/~anskor/publ.htm",
  "categories": [
    "math.AG"
  ],
  "abstract": "We present a method for calculating the Brauer group of a surface given by a diagonal equation in the projective space. For diagonal quartic surfaces with coefficients in Q we determine the Brauer groups over Q and Q(i).",
  "revisions": [
    {
      "version": "v1",
      "updated": "2019-05-28T15:08:25.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "14F22",
      "14Q10"
    ],
    "keywords": [
      "brauer group",
      "diagonal surfaces",
      "cohomology",
      "diagonal quartic surfaces"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 36,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}