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| B86-02.pdf | 298.32 kB | Adobe PDF | View/Open |
| Title: | $p=2$ に対する岩澤理論について |
| Other Titles: | Iwasawa theory for $p=2$ (Algebraic Number Theory and Related Topics 2018) |
| Authors: | 熱田, 真大  |
| Author's alias: | ATSUTA, Mahiro |
| Keywords: | 11R23 Iwasawa theory ideal class group $p$-adic $L$-function |
| Issue Date: | Jul-2021 |
| Publisher: | Research Institute for Mathematical Sciences, Kyoto University |
| Journal title: | 数理解析研究所講究録別冊 |
| Volume: | B86 |
| Start page: | 21 |
| End page: | 30 |
| Abstract: | 本稿では, 古典的なイデアル類群のp=2に対する岩澤理論について紹介する.§2では岩澤加群の有限部分加群について, §3では岩澤主予想について, §4ではイデアル類群のFittingイデアルについてpが奇素数の時と比較しながら知られている結果を述べる. In this paper, we introduce classical Iwasawa theory for class groups with p = 2. In §2, we discuss about non-trivial finite submodules of Iwasawa modules. In §3, we discuss about the Iwasawa main conjecture. In §4, we discuss about Fitting ideals of class groups. |
| Description: | Algebraic Number Theory and Related Topics 2018. November 26-30, 2018. edited by Takao Yamazaki and Shuji Yamamoto. The papers presented in this volume of RIMS Kôkyûroku Bessatsu are in final form and refereed. |
| Rights: | © 2021 by the Research Institute for Mathematical Sciences, an International Joint Usage/Research Center located in Kyoto University. All rights reserved. |
| URI: | http://hdl.handle.net/2433/265147 |
| Appears in Collections: | B86 Algebraic Number Theory and Related Topics 2018 |
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