On the p-adic geometry of traces of singular moduli
| dc.creator | Edixhoven, Bas | |
| dc.date | 2005-02-10 | |
| dc.date.accessioned | 2026-07-07T08:37:49Z | |
| dc.date.available | 2026-07-07T08:37:49Z | |
| dc.description | 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. | |
| dc.description | 3 pages, Latex | |
| dc.identifier | https://arxiv.org/abs/math/0502213 | |
| dc.identifier | http://arxiv.org/abs/math/0502213 | |
| dc.identifier | Int. J. Number Theory 1 (2005), no. 4, 495--497. | |
| dc.identifier | doi:10.1142/S1793042105000327 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/140535 | |
| dc.subject | Number Theory | |
| dc.subject | Algebraic Geometry | |
| dc.subject | 11G15 (Primary) 11F11, 14G35 (Secondary) | |
| dc.title | On the p-adic geometry of traces of singular moduli | |
| dc.type | text |