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| ファイル | 記述 | サイズ | フォーマット | |
|---|---|---|---|---|
| B83-11.pdf | 148.45 kB | Adobe PDF | 見る/開く |
| タイトル: | On the theory of higher rank Euler, Kolyvagin and Stark systems: a research announcement (Algebraic Number Theory and Related Topics 2017) |
| 著者: | Sakamoto, Ryotaro |
| 著者名の別形: | 坂本, 龍太郎 |
| キーワード: | 11R23 11R34 Euler system Galois cohomology |
| 発行日: | Oct-2020 |
| 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: | B83 |
| 開始ページ: | 141 |
| 終了ページ: | 159 |
| 抄録: | This is an announcement of the joint paper [1] with David Burns and Takamichi Sano. In the present paper, we report on the recent progress on the theory of higher rank Euler, Kolyvagin and Stark systems. We modify the definitions of the higher rank Euler, Kolyvagin and Stark systems by using the exterior bi-dual, and improve the theory of higher rank Kolyvagin and Stark systems studied by Mazur and Rubin. In particular, we prove the existence of a canonical higher Kolyvagin derivative homomorphism. |
| 記述: | Algebraic Number Theory and Related Topics 2017. December 4-8, 2017. edited by Hiroshi Tsunogai, Takao Yamazaki and Yasushi Mizusawa. The papers presented in this volume of RIMS Kôkyûroku Bessatsu are in final form and refereed. |
| 著作権等: | © 2020 by the Research Institute for Mathematical Sciences, Kyoto University. All rights reserved. |
| URI: | http://hdl.handle.net/2433/260695 |
| 出現コレクション: | B83 Algebraic Number Theory and Related Topics 2017 |
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