{
  "id": "2308.14567",
  "version": "v1",
  "published": "2023-08-28T13:33:06.000Z",
  "updated": "2023-08-28T13:33:06.000Z",
  "title": "Torsion points on Elliptic Curves and the Jackson Space",
  "authors": [
    "Daniel Larsson"
  ],
  "comment": "Comments and corrections are welcome!",
  "categories": [
    "math.NT",
    "math.AG",
    "math.RA"
  ],
  "abstract": "In this paper we will use a particular non-commutative scheme to, among other things, study the ramification properties of the field of $p$-torsion points on an elliptic curve and its reduction properties. Also, we show that this non-commutative space also allow us to use the $p$-torsion points to ``parametrise'' classes in the $p$-torsion of the Brauer group of the base field.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2023-08-28T13:33:06.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "torsion points",
      "elliptic curve",
      "jackson space",
      "base field",
      "brauer group"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}