{
  "id": "1605.04728",
  "version": "v1",
  "published": "2016-05-16T11:01:41.000Z",
  "updated": "2016-05-16T11:01:41.000Z",
  "title": "Local-global principle for reduced norms over function fields of p-adic curves",
  "authors": [
    "R. Parimala",
    "R. Preeti",
    "V. Suresh"
  ],
  "categories": [
    "math.NT",
    "math.RA"
  ],
  "abstract": "Let F be a function field in one variable over a p-adic field and D a central division algebra over F of degree n coprime to p. We prove that Suslin invariant detects whether an element in F is a reduced norm. This leads to a local-global principle for reduced norms with respect to all discrete valuations of F.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2016-05-16T11:01:41.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "reduced norm",
      "function field",
      "local-global principle",
      "p-adic curves",
      "central division algebra"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}