{
  "id": "2405.16032",
  "version": "v1",
  "published": "2024-05-25T03:09:56.000Z",
  "updated": "2024-05-25T03:09:56.000Z",
  "title": "p-adic equidistribution of modular geodesics and of Heegner points on Shimura curves",
  "authors": [
    "Patricio Pérez-Piña"
  ],
  "categories": [
    "math.NT",
    "math.DS"
  ],
  "abstract": "We propose a p-adic version of Duke's Theorem on the equidistribution of closed geodesics on modular curves. Our approach concerns quadratic fields split at p as well as a p-adic covering of the modular curve. We also prove an equidistribution result of Heegner points in the p-adic space attached to Shimura curves.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2024-05-25T03:09:56.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "11G15",
      "11F85"
    ],
    "keywords": [
      "shimura curves",
      "heegner points",
      "p-adic equidistribution",
      "modular geodesics",
      "approach concerns quadratic fields split"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}