Cohomology of number fields

Author(s)

• Neukirch, Jürgen
• Schmidt, Alexander
• Wingberg, Kay

Bibliographic Information

Cohomology of number fields

Jürgen Neukirch, Alexander Schmidt, Kay Wingberg

（Die Grundlehren der mathematischen Wissenschaften, v. 323）

Springer, c2008

2nd ed

Note

Includes bibliographical references (p. [805]-819) 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"

Details

• NCID: BA85112571
• ISBN:
  • 9783540378884
• LCCN: 2008921043
• Country Code: gw
• Title Language Code: eng
• Text Language Code: eng
• Place of Publication: Berlin
• Pages/Volumes: xv, 825 p.
• Size: 24 cm
• Classification:
  • LCC : QA3
• Subject Headings:
  • LCSH : Algebraic fields
  • LCSH : Galois theory
  • LCSH : Homology theory
• Parent Bibliography ID:
  • BA00007422