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| ファイル | 記述 | サイズ | フォーマット | |
|---|---|---|---|---|
| B72-18.pdf | 6.54 MB | Adobe PDF | 見る/開く |
| タイトル: | 分岐$mathbb{Z}_p$被覆の岩澤不変量 : 概説 (Algebraic Number Theory and Related Topics 2015) |
| その他のタイトル: | On the Iwasawa invariants of branched $mathbb{Z}_{p}$-covers, a survey (Algebraic Number Theory and Related Topics 2015) |
| 著者: | 植木, 潤  |
| 著者名の別形: | UEKI, Jun |
| キーワード: | 57M12 57M25 57M27 57M60 11R23 branched cover link Iwasawa theory arithmetic topology |
| 発行日: | Dec-2018 |
| 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: | B72 |
| 開始ページ: | 331 |
| 終了ページ: | 342 |
| 抄録: | In this article, we present several results in papers [Uek16] and [Uek17] relating to [NU18], [Uek14], [Uek18a] , and [Uek18b] . First, we state an analogue of the genus formula for branched Galois covers of 3‐manifolds branched over links. Secondly, we define branched mathbb{Z}_{p}‐covers as inverse systems of branched covers, and state the Iwasawa type formula. Thirdly, we state analogues of Iwasawa's theorems on the mu and lambda‐invariants for equivariant Galois morphisms of mathbb{Z}_{p}‐covers. Finally, we study an analogue of the Galois cohomology of unit groups of number fields. |
| 記述: | "Algebraic Number Theory and Related Topics 2015". November 30 - December 4, 2015. edited by Hiroki Takahashi, Yasuo Ohno and Takahiro Tsushima. The papers presented in this volume of RIMS Kôkyûroku Bessatsu are in final form and refereed. |
| 著作権等: | © 2018 by the Research Institute for Mathematical Sciences, Kyoto University. All rights reserved. |
| URI: | http://hdl.handle.net/2433/244748 |
| 出現コレクション: | B72 Algebraic Number Theory and Related Topics 2015 |
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