Cohomology of Number Fields

by Jïrgen Neukirch, Alexander Schmidt, Kay Wingberg

Overview

This second edition is a corrected and extended version of the first. It is a textbook for students, as well as a reference book for the working mathematician, on cohomological topics in number theory. In all it is a virtually complete treatment of a vast array of central topics in algebraic number theory. New material is introduced here on duality theorems for unramified and tamely ramified extensions as well as a careful analysis of 2-extensions of real number fields.

Product Details

ISBN-13:	9783662517451
Publisher:	Springer Berlin Heidelberg
Publication date:	08/23/2016
Series:	Grundlehren der mathematischen Wissenschaften , #323
Edition description:	Softcover reprint of the original 2nd ed. 2008
Pages:	826
Product dimensions:	6.10(w) x 9.25(h) x 0.07(d)

Table of Contents

Part I Algebraic Theory: Cohomology of Profinite Groups.- Some Homological Algebra.- Duality Properties of Profinite Groups.- Free Products of Profinite Groups.- Iwasawa Modules.- Part II Arithmetic Theory: Galois Cohomology.- Cohomology of Local Fields.- Cohomology of Global Fields.- The Absolute Galois Group of a Global Field.- Restricted Ramification.- Iwasawa Theory of Number Fields.- Anabelian Geometry.- Literature.- Index.

Editorial Reviews

ntralblatt MATH, Vol. 1136 (14), 2008)

From the Publisher