{
  "id": "1909.06531",
  "version": "v1",
  "published": "2019-09-14T04:40:58.000Z",
  "updated": "2019-09-14T04:40:58.000Z",
  "title": "A note on the Brauer group and the Brauer-Manin set of a product",
  "authors": [
    "Chang",
    "Lv"
  ],
  "comment": "10 pages, 20190703/ba2bc27",
  "categories": [
    "math.AG",
    "math.NT"
  ],
  "abstract": "We generalize the results of Skorobogatov and Zarhin considering the commutativity of Brauer groups (and Brauer-Manin sets) with taking product of two varieties, by relaxing the condition that varieties are projective.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2019-09-14T04:40:58.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "14F22"
    ],
    "keywords": [
      "brauer group",
      "brauer-manin set",
      "skorobogatov"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 10,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}