{
  "id": "1804.11158",
  "version": "v1",
  "published": "2018-04-30T12:38:37.000Z",
  "updated": "2018-04-30T12:38:37.000Z",
  "title": "Corrigendum to Néron models, Lie algebras, and reduction of curves of genus one [LLR1] and The Brauer group of a surface [LLR2]",
  "authors": [
    "Qing Liu",
    "Dino Lorenzini",
    "Michel Raynaud"
  ],
  "categories": [
    "math.AG",
    "math.NT"
  ],
  "abstract": "Let X be a proper smooth and connected surface over a finite field. We proved in [LLR2] that the order of the Brauer group Br(X) of X is a perfect square if it is finite. Our proof is based in part on a result of Gordon [Gor], which we used in [LLR1] to establish a key formula. Thomas Geisser noted that the formula in [LLR1] is incorrect, due to an omission in [Gor]. We explain in this corrigendum how to modify the work of Gordon to establish a correct formula. The corrected formula can be used to prove the result in [LLR2] without further modifications.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2018-04-30T12:38:37.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "14G15",
      "14G20",
      "14J20",
      "11G25"
    ],
    "keywords": [
      "néron models",
      "lie algebras",
      "corrigendum",
      "brauer group br",
      "finite field"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}