{
  "id": "2308.11640",
  "version": "v1",
  "published": "2023-08-16T12:13:38.000Z",
  "updated": "2023-08-16T12:13:38.000Z",
  "title": "The Hasse norm principle for abelian extensions -- corrigendum",
  "authors": [
    "Christopher Frei",
    "Daniel Loughran",
    "Rachel Newton"
  ],
  "comment": "25 pages, corrigendum to arXiv:1508.02518. Comments welcome!",
  "categories": [
    "math.NT"
  ],
  "abstract": "The proofs of Theorem 1.1 and Theorem 1.5(2) in the authors' paper 'The Hasse norm principle for abelian extensions' are incorrect. We point out the mistakes and provide correct proofs, using techniques of the original paper.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2023-08-16T12:13:38.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "11R37",
      "11R45",
      "43A70",
      "14G05",
      "20G30"
    ],
    "keywords": [
      "hasse norm principle",
      "abelian extensions",
      "corrigendum",
      "original paper",
      "correct proofs"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 25,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}