Cohomology of number fields
Información General
- Autores: Jürgen Neukirch, Kay Wingberg, Alexander Schmidt
- Editores: Berlin [etc. : Springer, [2000
- Año de publicación: 2000
- País: Alemania
- Idioma: inglés
- ISBN: 3-540-66671-0
- Texto completo no disponible (Saber más ...)
Resumen
This book is a vital tool in the field, and it has just got better. The second edition is a corrected and extended version of the first. It deals with cohomological topics in number theory.
It offers the reader a virtually complete treatment of a vast array of central topics in algebraic number theory.
This is crucial, as there is so much material known to the experts, but whose detailed proof did not exist in the literature. Most notable amongst these is the celebrated duality theorem of Poitou and Tate, included here.
The first part of the book provides algebraic background including cohomology of profinite groups, duality groups, free products, and homotopy theory of modules.
You’ll find new sections too on spectral sequences and on Tate cohomology of profinite groups.
The second part deals with the famed Poitou-Tate duality, Hasse principles, and the theorem of Grunwald-Wang, among others.
New material is introduced here on duality theorems for unramified and tamely ramified extensions, a careful analysis of 2-extensions of real number fields and a complete proof of Neukirch’s theorem on solvable Galois groups wit
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