| 言語種別 | 英語 |
|---|---|
| 発行・発表の年月 | 2016/01 |
| 形態種別 | 学術研究論文 |
| 査読 | 査読あり |
| 標題 | Algebraic points on Shimura curves of $\Gamma_0(p)$-type (II) |
| 執筆形態 | 単著 |
| 掲載誌名 | Manuscripta Mathematica |
| 巻・号・頁 | 149,63-70 |
| 概要 | In a previous article, we proved that for a quadratic field, there are at most elliptic points on a Shimura curve of $\Gamma_0(p)$-type for every sufficiently large prime number $p$. This is an analogue of the study of rational points on the modular curve $X_0(p)$ by Mazur and Momose. In this article, we expand the previous result for Shimura curves to the case of number fields of higher degree, which seems unknown for $X_0(p)$. |
| DOI | 10.1007/s00229-015-0770-6 |