{
  "id": "1305.3161",
  "version": "v1",
  "published": "2013-05-14T14:12:09.000Z",
  "updated": "2013-05-14T14:12:09.000Z",
  "title": "Hasse Principle for G-quadratic forms",
  "authors": [
    "Eva Bayer-Fluckiger",
    "Nivedita Bhaskhar",
    "Raman Parimala"
  ],
  "comment": "To appear in Documenta Mathematica",
  "categories": [
    "math.NT"
  ],
  "abstract": "Let k be a global field of characteristic not 2. The classical Hasse-Minkowski theorem states that if two quadratic forms become isomorphic over all the completions of k, then they are isomorphic over k as well. It is natural to ask whether this is also true for G-quadratic forms, where G is a finite group. In the case of number fields the Hasse principle for G-quadratic forms does not hold in general, as shown by Jorge Morales. The aim of this paper is to study this question when k is a global field of positive characteristic. We give a sufficient criterion for the Hasse principle to hold, and also counter examples : note that these are of different nature than those for number fields.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2013-05-14T14:12:09.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "g-quadratic forms",
      "hasse principle",
      "number fields",
      "global field",
      "classical hasse-minkowski theorem states"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2013arXiv1305.3161B"
    }
  }
}