Cohomology of Number Fields

Name: Cohomology of Number Fields
Author: Jürgen Neukirch

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Gebonden, 826 blz. | Engels

Springer Berlin Heidelberg | 2e druk, 2008

ISBN13: 9783540378884

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Springer Berlin Heidelberg 2e druk, 2008 9783540378884

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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.

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ISBN13:9783540378884

Taal:Engels

Bindwijze:gebonden

Aantal pagina's:826

Uitgever:Springer Berlin Heidelberg

Druk:2

Serie:Grundlehren der mathematischen Wissenschaften

Inhoudsopgave

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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