{
  "id": "1210.5765",
  "version": "v2",
  "published": "2012-10-21T21:40:53.000Z",
  "updated": "2013-05-10T20:48:50.000Z",
  "title": "Hasse principle for G-trace forms",
  "authors": [
    "E. Bayer-Fluckiger",
    "R. Parimala",
    "J-P. Serre"
  ],
  "comment": "minor corrections",
  "categories": [
    "math.NT"
  ],
  "abstract": "Let k be a global field of characteristic not 2. We prove a local-global principle for the existence of self-dual normal bases, and more generally for the isomorphism of G-trace forms, of G-Galois algebras over k.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2013-05-10T20:48:50.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "g-trace forms",
      "hasse principle",
      "self-dual normal bases",
      "global field",
      "local-global principle"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "doi": "10.1070/IM2013v077n03ABEH002643",
      "journal": "Izvestiya: Mathematics",
      "year": 2013,
      "month": "Jun",
      "volume": 77,
      "number": 3,
      "pages": 437
    },
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2013IzMat..77..437B"
    }
  }
}