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  • Textbook
  • © 1988

Algebraic Groups and Class Fields

Authors:

  • Reprint of a successful book
  • Written by the author of the classic, best-selling title Galois Cohomology
  • Presents local class field theory from the cohomological point of view

Part of the book series: Graduate Texts in Mathematics (GTM, volume 117)

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Table of contents (7 chapters)

  1. Front Matter

    Pages i-ix
  2. Summary of Main Results

    • Jean-Pierre Serre
    Pages 1-5
  3. Algebraic Curves

    • Jean-Pierre Serre
    Pages 6-26
  4. Maps From a Curve to a Commutative Group

    • Jean-Pierre Serre
    Pages 27-57
  5. Singular Algebraic Curves

    • Jean-Pierre Serre
    Pages 58-73
  6. Generalized Jacobians

    • Jean-Pierre Serre
    Pages 74-108
  7. Class Field Theory

    • Jean-Pierre Serre
    Pages 109-160
  8. Group Extensions and Cohomology

    • Jean-Pierre Serre
    Pages 161-197
  9. Back Matter

    Pages 198-211

Authors and Affiliations

  • Collège de France, Paris Cedex 05, France

    Jean-Pierre Serre

Bibliographic Information

  • Book Title: Algebraic Groups and Class Fields

  • Authors: Jean-Pierre Serre

  • Series Title: Graduate Texts in Mathematics

  • DOI: https://doi.org/10.1007/978-1-4612-1035-1

  • Publisher: Springer New York, NY

  • eBook Packages: Springer Book Archive

  • Copyright Information: Springer Science+Business Media New York 1988

  • Hardcover ISBN: 978-0-387-96648-9Published: 02 December 1987

  • Softcover ISBN: 978-1-4612-6993-9Published: 30 September 2012

  • eBook ISBN: 978-1-4612-1035-1Published: 06 December 2012

  • Series ISSN: 0072-5285

  • Series E-ISSN: 2197-5612

  • Edition Number: 1

  • Number of Pages: IX, 211

  • Additional Information: Title of the original French edition: Groupes algebriques et corps de classes

  • Topics: Group Theory and Generalizations

Buy it now

Buying options

eBook USD 54.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book USD 69.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info
Hardcover Book USD 99.99
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