{
  "id": "math/0502213",
  "version": "v1",
  "published": "2005-02-10T15:08:59.000Z",
  "updated": "2005-02-10T15:08:59.000Z",
  "title": "On the p-adic geometry of traces of singular moduli",
  "authors": [
    "Bas Edixhoven"
  ],
  "comment": "3 pages, Latex",
  "journal": "Int. J. Number Theory 1 (2005), no. 4, 495--497.",
  "doi": "10.1142/S1793042105000327",
  "categories": [
    "math.NT",
    "math.AG"
  ],
  "abstract": "The aim of this article is to show that p-adic geometry of modular curves is useful in the study of p-adic properties of traces of singular moduli. In order to do so, we partly answer a question by Ono. As our goal is just to illustrate how p-adic geometry can be used in this context, we focus on a relatively simple case, in the hope that others will try to obtain the strongest and most general results. For example, for p=2, a result stronger than Thm.1 is proved in [Boylan], and a result on some modular curves of genus zero can be found in [Osburn] . It should be easy to apply our method, because of its local nature, to modular curves of arbitrary level, as well as to Shimura curves.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2005-02-10T15:08:59.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "11G15",
      "11F11",
      "14G35"
    ],
    "keywords": [
      "p-adic geometry",
      "singular moduli",
      "modular curves",
      "local nature",
      "genus zero"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "LaTeX",
      "pages": 3,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2005math......2213E"
    }
  }
}