{
  "id": "2403.03319",
  "version": "v2",
  "published": "2024-03-05T20:57:07.000Z",
  "updated": "2024-04-20T09:09:06.000Z",
  "title": "Bogomolov property and Galois representations",
  "authors": [
    "Francesco Amoroso",
    "Lea Terracini"
  ],
  "categories": [
    "math.NT"
  ],
  "abstract": "In 2013 P. Habegger proved the Bogomolov property for the field generated over Q by the torsion points of a rational elliptic curve. We explore the possibility of applying the same strategy of proof to the case of field extensions fixed by the kernel of some modular Galois representations.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2024-04-20T09:09:06.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "bogomolov property",
      "modular galois representations",
      "rational elliptic curve",
      "torsion points",
      "field extensions"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}