Cohomology of Number Fields

Softcover Nachdruck of the original 2. Auflage 2008
ISBN: 978-3-662-51745-1
Verlag: Springer

Buch, Englisch, Band 323, 826 Seiten, Previously published in hardcover, Format (B × H): 155 mm x 235 mm, Gewicht: 1253 g

Reihe: Grundlehren der mathematischen Wissenschaften

In the words of a reviewer: “This monograph gives a very complete treatment of a vast array of cental topics in algebraic number theory
There is so much material written down systematically which was known to the experts, but whose detailed proof did not actually exist in the literature (most notable amongst these is the celebrated duality theorem of Poitou and Tate)”

Zielgruppe

Research

Autoren/Hrsg.

Neukirch, Jürgen

Wingberg, Kay

Schmidt, Alexander

Fachgebiete

• Mathematik | Informatik Mathematik Algebra Zahlentheorie
• Mathematik | Informatik Mathematik Geometrie Algebraische Geometrie
• Mathematik | Informatik Mathematik Algebra Algebraische Strukturen, Gruppentheorie

Inhaltsverzeichnis

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.