On λ-invariants of number fields and étale cohomology

Author:

Kolster Manfred,Movahhedi Abbas

Abstract

AbstractFor an odd prime p we prove a Riemann-Hurwitz type formula for odd eigenspaces of the standard Iwasawa modules over F(μp∞), the field obtained from a totally real number field F by adjoining all p-power roots of unity. We use a new approach based on the relationship between eigenspaces and étale cohomology groups over the cyclotomic ℤp-extension F of F. The systematic use of étale cohomology greatly simplifies the proof and allows to generalize the classical result about the minus-eigenspace to all odd eigenspaces.

Publisher

Cambridge University Press (CUP)

Subject

Geometry and Topology,Algebra and Number Theory

Reference21 articles.

1. Duality theorems for Γ-extensions of algebraic number fields with restricted ramification;Wingberg;Comp. Math.,1985

2. Relations between K2 and Galois cohomology

3. �ber gewisse Galoiscohomologiegruppen

4. Analogues supérieurs du noyau sauvage

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