{
  "id": "1904.02355",
  "version": "v1",
  "published": "2019-04-04T05:27:13.000Z",
  "updated": "2019-04-04T05:27:13.000Z",
  "title": "Similarity of quadratic forms over global fields in characteristic 2",
  "authors": [
    "Zhengyao Wu"
  ],
  "comment": "6 pages",
  "categories": [
    "math.NT"
  ],
  "abstract": "Let $ K $ be a global function field of characteristic $ 2 $. For each non-trivial place $ v $ of $ K $, let $ K_{v} $ be the completion of $ K $ at $ v $. We show that if two non-degenerate quadratic forms are similar over every $ K_{v} $, then they are similar over $ K $. This provides an analogue of the case for characteristic not $ 2 $ previously obtained by T.Ono.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2019-04-04T05:27:13.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "11E12",
      "11E81",
      "11E88"
    ],
    "keywords": [
      "global fields",
      "characteristic",
      "similarity",
      "global function field",
      "non-degenerate quadratic forms"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 6,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}