分岐$mathbb{Z}_p$被覆の岩澤不変量 : 概説 (Algebraic Number Theory and Related Topics 2015)

• 植木, 潤

  Department of Mathematics, School of System Design and Technology, Tokyo Denki University

書誌事項

タイトル別名

• On the Iwasawa invariants of branched $mathbb{Z}_{p}$-covers, a survey (Algebraic Number Theory and Related Topics 2015)

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.

"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.

収録刊行物

• 数理解析研究所講究録別冊

  数理解析研究所講究録別冊 B72 331-342, 2018-12

  Research Institute for Mathematical Sciences, Kyoto University

キーワード

• 57M12
• 57M25
• 57M27
• 57M60
• 11R23
• branched cover
• link
• Iwasawa theory
• arithmetic topology

詳細情報

• CRID: 1050564288828095616
• NII論文ID: 120006766083
• NII書誌ID: AA12196120
• ISSN: 18816193
• HANDLE: 2433/244748
• 本文言語コード: ja
• 資料種別: departmental bulletin paper
• データソース種別:
  • IRDB
  • CiNii Articles