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| ファイル | 記述 | サイズ | フォーマット | |
|---|---|---|---|---|
| B51-03.pdf | 1.92 MB | Adobe PDF | 見る/開く |
| タイトル: | The 2-part of the non-abelian Brumer-Stark conjecture for extensions with group $D_{4p}$ and numerical examples of the conjecture (Algebraic Number Theory and Related Topics 2012) |
| 著者: | Nomura, Jiro |
| 著者名の別形: | ノムラ, ジロウ |
| キーワード: | 11R42 11R29 equivariant L-values class groups |
| 発行日: | Oct-2014 |
| 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: | B51 |
| 開始ページ: | 33 |
| 終了ページ: | 53 |
| 抄録: | Andreas Nickel formulated in [12] non-abelian generalizations of the Brumer and Brumer-Stark conjectures. This paper has two main purposes. The first is to give an improvement of [15, Theorem 5.1 (2)] on the generalized conjectures. The second is to give numerical examples of the conjectures. Using the numerical examples, we explain the meaning of the conjectures. Especially, we explain why it is reasonable to conjecture that Stickelberger elements come from reduced norms, and why we need the backslash denominator ideals . |
| 記述: | "Algebraic Number Theory and Related Topics 2012". December 3～7, 2012. edited by Atsushi Shiho, Tadashi Ochiai and Noriyuki Otsubo. The papers presented in this volume of RIMS Kôkyûroku Bessatsu are in final form and refereed. |
| 著作権等: | © 2014 by the Research Institute for Mathematical Sciences, Kyoto University. All rights reserved. |
| URI: | http://hdl.handle.net/2433/232890 |
| 出現コレクション: | B51 Algebraic Number Theory and Related Topics 2012 |
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