Cohomology of number fields
Author(s)
Bibliographic Information
Cohomology of number fields
(Die Grundlehren der mathematischen Wissenschaften, v. 323)
Springer, 2013, c2008
2nd ed. Corr. 2nd printing
- : pbk
Note
Includes bibliographical references (p. 805-820) and index
Description and Table of Contents
Description
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.
Table of Contents
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.
by "Nielsen BookData"