Cohomology of Number Fields

ISBN-13: 9783540378884 / Angielski / Twarda / 2008 / 826 str.

J??rgen Neukirch; Alexander Schmidt; Kay Wingberg

Opis

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.

Recenzje

ntralblatt MATH, Vol. 1136 (14), 2008)

Spis treści

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.

O autorze

Dr. Jürgen Neukirch, lehrt am Fachbereich Mathematik der Universität Regensburg.