{
  "id": "2012.06339",
  "version": "v2",
  "published": "2020-12-06T02:34:45.000Z",
  "updated": "2021-07-27T17:16:19.000Z",
  "title": "Lehmer without Bogomolov",
  "authors": [
    "Fabien Pazuki",
    "Niclas Technau",
    "Martin Widmer"
  ],
  "comment": "The main result of this note is now subsumed into arXiv:2107.09027",
  "categories": [
    "math.NT"
  ],
  "abstract": "We construct fields of algebraic numbers that have the Lehmer property but not the Bogomolov property. This answers a recent implicit question of Pengo and the first author.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2021-07-27T17:16:19.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "first author",
      "construct fields",
      "implicit question",
      "bogomolov property"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}