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| ファイル | 記述 | サイズ | フォーマット | |
|---|---|---|---|---|
| B53-01.pdf | 716.15 kB | Adobe PDF | 見る/開く |
| タイトル: | Algebraic points on Shimura curves of $Gamma_{0}(p)$-type (IV) (Algebraic Number Theory and Related Topics 2013) |
| 著者: | Arai, Keisuke |
| 著者名の別形: | 新井, 啓介 |
| キーワード: | 11G18 14G05 rational points Shimura curves |
| 発行日: | Sep-2015 |
| 出版者: | Research Institute for Mathematical Sciences, Kyoto University |
| 誌名: | 数理解析研究所講究録別冊 |
| 巻: | B53 |
| 開始ページ: | 3 |
| 終了ページ: | 11 |
| 抄録: | In previous articles, we proved that there are no points rational over a fixed number field on the Shimura curve of $Gamma$_{0}(p)-type for every sufficiently large prime number p under a mild assumption. In this article, (1) we generalize the previous result to an infinite family of number fields, and (2) give examples not satisfying the mild assumption as mentioned above. |
| 記述: | "Algebraic Number Theory and Related Topics 2013". December 9～13, 2013. edited by Tadashi Ochiai, Takeshi Tsuji and Iwao Kimura. The papers presented in this volume of RIMS Kôkyûroku Bessatsu are in final form and refereed. |
| 著作権等: | © 2015 by the Research Institute for Mathematical Sciences, Kyoto University. All rights reserved. |
| URI: | http://hdl.handle.net/2433/241271 |
| 出現コレクション: | B53 Algebraic Number Theory and Related Topics 2013 |
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