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The lifted root number conjecture and Iwasawa theory

About this Title

Jürgen Ritter and Alfred Weiss

Publication: Memoirs of the American Mathematical Society
Publication Year 2002: Volume 157, Number 748
ISBNs: 978-0-8218-2928-8 (print); 978-1-4704-0341-6 (online)
MathSciNet review: 1894887
MSC: Primary 11R33; Secondary 11R23, 11R37

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Table of Contents


  • 1. Introduction
  • 2. The tripod
  • 3. Restriction, deflation; change of maps, and variance with $S$
  • 4. Definition of $\mho _S; \Omega _\Phi $ as a shadow of $\mho _S$
  • 5. $\mho _S$ over the maximal order in the case when $G$ is abelian
  • 6. Local considerations
  • 7. Towards a representing homomorphism for $\Omega _{\varphi _\mathcal {L}}$
  • 8. Real cyclotomic extensions tame over $l$