Jürgen Neukirch, Alexander Schmidt, Kay Wingberg

Cohomology of Number Fields

• Broschiertes Buch

Produktbeschreibung

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.

Produktdetails

• Grundlehren der mathematischen Wissenschaften 323
• Verlag: Springer / Springer Berlin Heidelberg / Springer, Berlin
• Artikelnr. des Verlages: 978-3-662-51745-1
• 2. Aufl.
• Seitenzahl: 844
• Erscheinungstermin: 23. August 2016
• Englisch
• Abmessung: 235mm x 155mm x 45mm
• Gewicht: 1270g
• ISBN-13: 9783662517451
• ISBN-10: 3662517450
• Artikelnr.: 48943677

Inhaltsangabe

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.