REPRESENTING Ω(l∞) FOR REAL ABELIAN FIELDS

Author:

RITTER JÜRGEN12,WEISS ALFRED12

Affiliation:

1. Institut für Mathematik, Universität Augsburg, 86135 Augsburg, Germany

2. Department of Mathematics, University of Alberta, Edmonton T6G 2G1, Canada

Abstract

For real subfields K of a cyclotomic field ℚ(ς) we remove the tameness assumption at a given odd prime number l, which was needed in [11] in order to establish the equivalence of the Lifted Root Number Conjecture at l and an equivariant main conjecture of Iwasawa theory for abelian extensions of totally real number fields K/k.

Publisher

World Scientific Pub Co Pte Lt

Subject

Applied Mathematics,Algebra and Number Theory

Cited by 4 articles. 订阅此论文施引文献 订阅此论文施引文献,注册后可以免费订阅5篇论文的施引文献,订阅后可以查看论文全部施引文献

1. Integrality of Stickelberger elements and the equivariant Tamagawa number conjecture;Journal für die reine und angewandte Mathematik (Crelles Journal);2016-01-01

2. On the equivariant Tamagawa number conjecture in tame CM-extensions, II;Compositio Mathematica;2011-05-04

3. On Modified Circular Units and Annihilation of real Classes;Nagoya Mathematical Journal;2005

4. Toward equivariant Iwasawa theory, II;Indagationes Mathematicae;2004

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