{
  "id": "1807.10223",
  "version": "v1",
  "published": "2018-07-26T16:21:55.000Z",
  "updated": "2018-07-26T16:21:55.000Z",
  "title": "Integral Hasse principle and strong approximation for Markoff surfaces",
  "authors": [
    "Daniel Loughran",
    "Vladimir Mitankin"
  ],
  "comment": "19 pages",
  "categories": [
    "math.NT",
    "math.AG"
  ],
  "abstract": "We study the failure of the integral Hasse principle and strong approximation for Markoff surfaces, as studied by Ghosh and Sarnak, using the Brauer-Manin obstruction.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2018-07-26T16:21:55.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "integral hasse principle",
      "strong approximation",
      "markoff surfaces",
      "brauer-manin obstruction"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 19,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}