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このアイテムのファイル:
| ファイル | 記述 | サイズ | フォーマット | |
|---|---|---|---|---|
| B53-21.pdf | 2.07 MB | Adobe PDF | 見る/開く |
| タイトル: | $p$-進ソリトン理論入門 (Algebraic Number Theory and Related Topics 2013) |
| その他のタイトル: | Introduction to $p$-adic soliton theory (Algebraic Number Theory and Related Topics 2013) |
| 著者: | 山崎, 隆雄  |
| 著者名の別形: | Yamazaki, Takao |
| キーワード: | 11G30 11S99 14H40 Sato Grassmannian $p$-adic tau function $p$-adic loop group formal group |
| 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: | 325 |
| 終了ページ: | 342 |
| 抄録: | This is a survey article on Anderson s p-adic soliton theory and its later development by Kobayashi and the author. The p-adic soliton theory was applied by Anderson to an arithmetic problem related to the Manin-Mumford conjecture. He estimated the number of p-torsion points on the theta divisor of a certain curve. We evolve his theory further and estimate the number of p^{n}-torsion points on the theta divisor for more general curves. |
| 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/2433/241291 |
| 出現コレクション: | B53 Algebraic Number Theory and Related Topics 2013 |
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