{
  "id": "2303.09985",
  "version": "v1",
  "published": "2023-03-17T14:02:04.000Z",
  "updated": "2023-03-17T14:02:04.000Z",
  "title": "Exp function for Edwards curves over local fields",
  "authors": [
    "Giuseppe Filippone"
  ],
  "comment": "11 pages, 26 references",
  "categories": [
    "math.NT",
    "math.AG"
  ],
  "abstract": "We extend the map Exp for elliptic curves in short Weierstrass form over $ \\mathbb{C} $ to Edwards curves over local fields. Subsequently, we compute the map Exp for Edwards curves over the local field $ \\mathbb{Q}_{p} $ of $ p $-adic numbers.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2023-03-17T14:02:04.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "11F85",
      "11G07",
      "11G20",
      "14H52"
    ],
    "keywords": [
      "local field",
      "edwards curves",
      "exp function",
      "map exp",
      "short weierstrass form"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 11,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}