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  • © 2008

Cohomology of Number Fields

  • In the words of a reviewer: “This monograph gives a very complete treatment of a vast array of central 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)”
  • Includes supplementary material: sn.pub/extras

Part of the book series: Grundlehren der mathematischen Wissenschaften (GL, volume 323)

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Table of contents (12 chapters)

  1. Front Matter

    Pages i-xv
  2. Algebraic Theory

    1. Front Matter

      Pages 1-1
    2. Cohomology of Profinite Groups

      • Jürgen Neukirch, Alexander Schmidt, Kay Wingberg
      Pages 3-96
    3. Some Homological Algebra

      • Jürgen Neukirch, Alexander Schmidt, Kay Wingberg
      Pages 97-145
    4. Duality Properties of Profinite Groups

      • Jürgen Neukirch, Alexander Schmidt, Kay Wingberg
      Pages 147-244
    5. Free Products of Profinite Groups

      • Jürgen Neukirch, Alexander Schmidt, Kay Wingberg
      Pages 245-266
    6. Iwasawa Modules

      • Jürgen Neukirch, Alexander Schmidt, Kay Wingberg
      Pages 267-333
  3. Arithmetic Theory

    1. Front Matter

      Pages 335-335
    2. Galois Cohomology

      • Jürgen Neukirch, Alexander Schmidt, Kay Wingberg
      Pages 337-369
    3. Cohomology of Local Fields

      • Jürgen Neukirch, Alexander Schmidt, Kay Wingberg
      Pages 371-423
    4. Cohomology of Global Fields

      • Jürgen Neukirch, Alexander Schmidt, Kay Wingberg
      Pages 425-520
    5. The Absolute Galois Group of a Global Field

      • Jürgen Neukirch, Alexander Schmidt, Kay Wingberg
      Pages 521-597
    6. Restricted Ramification

      • Jürgen Neukirch, Alexander Schmidt, Kay Wingberg
      Pages 599-719
    7. Iwasawa Theory of Number Fields

      • Jürgen Neukirch, Alexander Schmidt, Kay Wingberg
      Pages 721-784
    8. Anabelian Geometry

      • Jürgen Neukirch, Alexander Schmidt, Kay Wingberg
      Pages 785-803
  4. Back Matter

    Pages 805-826

Authors and Affiliations

  • Mathematical Institute, Heidelberg University, Heidelberg, Germany

    Alexander Schmidt, Kay Wingberg

Bibliographic Information

Buy it now

Buying options

eBook USD 169.00
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book USD 219.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info
Hardcover Book USD 219.99
Price excludes VAT (USA)
  • Durable hardcover edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Other ways to access