King's College London

Research portal

On Iwasawa theory, zeta elements for Gm, and the equivariant Tamagawa number conjecture

Research output: Contribution to journalArticlepeer-review

David Burns, Masato Kurihara, Takamichi Sano

Original languageEnglish
Pages (from-to)1527-1571
Number of pages45
JournalAlgebra and Number Theory
Volume11
Issue number7
Early online date7 Sep 2017
DOIs
Accepted/In press10 Mar 2017
E-pub ahead of print7 Sep 2017
Published7 Sep 2017

Documents

King's Authors

Abstract

We develop an explicit “higher-rank” Iwasawa theory for zeta elements associated to the multiplicative group over abelian extensions of number fields. We show this theory leads to a concrete new strategy for proving special cases of the equivariant Tamagawa number conjecture and, as a first application of this approach, we prove new cases of the conjecture over natural families of abelian CM-extensions of totally real fields for which the relevant p-adic L-functions possess trivial zeroes.

Download statistics

No data available

View graph of relations

© 2020 King's College London | Strand | London WC2R 2LS | England | United Kingdom | Tel +44 (0)20 7836 5454