{
  "id": "2002.01520",
  "version": "v1",
  "published": "2020-02-04T19:53:20.000Z",
  "updated": "2020-02-04T19:53:20.000Z",
  "title": "Some finiteness results for algebraic groups and unramified cohomology over higher-dimensional fields",
  "authors": [
    "Andrei S. Rapinchuk",
    "Igor A. Rapinchuk"
  ],
  "categories": [
    "math.NT",
    "math.AG",
    "math.GR"
  ],
  "abstract": "We formulate and analyze several finiteness conjectures for linear algebraic groups over higher-dimensional fields. In fact, we prove all of these conjectures for algebraic tori as well as in some other situations. This work relies in an essential way on several finiteness results for unramified cohomology.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2020-02-04T19:53:20.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "higher-dimensional fields",
      "finiteness results",
      "unramified cohomology",
      "linear algebraic groups",
      "work relies"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}