{
  "id": "1507.06277",
  "version": "v1",
  "published": "2015-07-22T18:07:12.000Z",
  "updated": "2015-07-22T18:07:12.000Z",
  "title": "Hasse principles for multinorm equations",
  "authors": [
    "Eva Bayer-Fluckiger",
    "Ting-Yu Lee",
    "Raman Parimala"
  ],
  "categories": [
    "math.NT",
    "math.AG"
  ],
  "abstract": "Let $k$ be a global field and let $L_0$,...,$L_m$ be finite separable field extensions of $k$. In this paper, we are interested in the Hasse principle for the multinorm equation $\\underset{i=0}{\\overset{m}{\\prod}}N_{L_i/k}(t_i)=c$. Under the assumption that $L_0$ is a cyclic extension, we give an explicit description of the Brauer-Manin obstruction to the Hasse principle. We also give a complete criterion for the Hasse principle for multinorm equations to hold when $L_0$ is a meta-cyclic extension.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2015-07-22T18:07:12.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "hasse principle",
      "multinorm equation",
      "finite separable field extensions",
      "explicit description",
      "complete criterion"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2015arXiv150706277B"
    }
  }
}