{
  "id": "2301.00518",
  "version": "v1",
  "published": "2023-01-02T04:07:12.000Z",
  "updated": "2023-01-02T04:07:12.000Z",
  "title": "The Frobenius twists of elliptic curves over global function fields",
  "authors": [
    "Ki-Seng Tan"
  ],
  "comment": "25 pages, 0 figures",
  "categories": [
    "math.NT"
  ],
  "abstract": "For an elliptic curve A defined over a global function field K of characteristic p>0, the p-Selmer group of the Frobenius twist of A tends to have larger order than that of A. The aim of this note is to discuss this phenomenon.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2023-01-02T04:07:12.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "11R23",
      "11G05",
      "11G07",
      "11R23",
      "14B15",
      "14H52",
      "14K02"
    ],
    "keywords": [
      "global function field",
      "elliptic curve",
      "frobenius twist",
      "p-selmer group",
      "larger order"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 25,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}