Del 323 - Grundlehren der mathematischen Wissenschaften

Cohomology of Number Fields

Inbunden, Engelska, 2008

Av Jürgen Neukirch, Alexander Schmidt, Kay Wingberg

2 609 kr

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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.

Produktinformation

Utgivningsdatum2008-02-18
Mått155 x 235 x undefined mm
FormatInbunden
SpråkEngelska
SerieGrundlehren der mathematischen Wissenschaften
Antal sidor826
Upplaga2
FörlagSpringer-Verlag Berlin and Heidelberg GmbH & Co. KG
ISBN9783540378884

Tillhör följande kategorier

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.

From the reviews of the second edition: "The publication of a second edition gives me a chance to ... emphasize what an important book it is. ... the book a necessary part of the number theorist's library. That it's also well written, clear, and systematic is a very welcome bonus. ... There are many goodies here ... . it is an indispensable book for anyone working in number theory. ... Neukirch, Schmidt, and Wingberg have, in fact, produced ... authoritative, complete, careful, and sure to be a reliable reference for many years." (Fernando Q. Gouvea, MathDL, May, 2008) "The second edition will continue to serve as a very helpful and up-to-date reference in cohomology of profinite groups and algebraic number theory, and all the additions are interesting and useful. ... the book is fine as it is: systematic, very comprehensive, and well-organised. This second edition will be a standard reference from the outset, continuing the success of the first one." (Cornelius Greither, Zentralblatt MATH, Vol. 1136 (14), 2008)