Cohomology of Number Fields / Edition 2

Cohomology of Number Fields / Edition 2

5.0 1
by Jurgen Neukirch, Alexander Schmidt, Kay Wingberg
     
 

ISBN-10: 354037888X

ISBN-13: 9783540378884

Pub. Date: 04/03/2008

Publisher: Springer Berlin Heidelberg

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

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:
9783540378884
Publisher:
Springer Berlin Heidelberg
Publication date:
04/03/2008
Series:
Grundlehren der mathematischen Wissenschaften Series, #323
Edition description:
2nd ed. 2008. Corr., 2nd printing 2013
Pages:
826
Product dimensions:
6.10(w) x 9.25(h) x 0.06(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.

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