Universitext

Galois Cohomology and Class Field Theory

Autoren: Harari, David

Vorschau
  • First textbook offering a complete exposition of local and global class field theory as well as arithmetic duality theorems
  • Provides the necessary background in Galois cohomology and homological algebra
  • Includes an appendix on analytical methods
Weitere Vorteile

Dieses Buch kaufen

eBook 21,39 €
42,79 € (Listenpreis)
Preis für Deutschland (Brutto)
gültig bis 30. Juni 2021
  • ISBN 978-3-030-43901-9
  • Versehen mit digitalem Wasserzeichen, DRM-frei
  • Erhältliche Formate: EPUB, PDF
  • eBooks sind auf allen Endgeräten nutzbar
  • Sofortiger eBook Download nach Kauf
Softcover 26,74 €
53,49 € (Listenpreis)
Preis für Deutschland (Brutto)
gültig bis 30. Juni 2021
Über dieses Lehrbuch

This graduate textbook offers an introduction to modern methods in number theory. It gives a complete account of the main results of class field theory as well as the Poitou-Tate duality theorems, considered crowning achievements of modern number theory.

Assuming a first graduate course in algebra and number theory, the book begins with an introduction to group and Galois cohomology. Local fields and local class field theory, including Lubin-Tate formal group laws, are covered next, followed by global class field theory and the description of abelian extensions of global fields. The final part of the book gives an accessible yet complete exposition of the Poitou-Tate duality theorems. Two appendices cover the necessary background in homological algebra and the analytic theory of Dirichlet L-series, including the Čebotarev density theorem.

Based on several advanced courses given by the author, this textbook has been written for graduate students. Including complete proofs and numerous exercises, the book will also appeal to more experienced mathematicians, either as a text to learn the subject or as a reference.

Über die Autor*innen

David Harari is a professor at the Université Paris-Sud (Orsay). He is a specialist in arithmetic and algebraic geometry, author of 40 research papers in these fields.

Inhaltsverzeichnis (18 Kapitel)

Inhaltsverzeichnis (18 Kapitel)
  • Cohomology of Finite Groups: Basic Properties

    Seiten 3-27

    Harari, David

  • Groups Modified à la Tate, Cohomology of Cyclic Groups

    Seiten 29-54

    Harari, David

  • p-Groups, the Tate–Nakayama Theorem

    Seiten 55-64

    Harari, David

  • Cohomology of Profinite Groups

    Seiten 65-78

    Harari, David

  • Cohomological Dimension

    Seiten 79-85

    Harari, David

Dieses Buch kaufen

eBook 21,39 €
42,79 € (Listenpreis)
Preis für Deutschland (Brutto)
gültig bis 30. Juni 2021
  • ISBN 978-3-030-43901-9
  • Versehen mit digitalem Wasserzeichen, DRM-frei
  • Erhältliche Formate: EPUB, PDF
  • eBooks sind auf allen Endgeräten nutzbar
  • Sofortiger eBook Download nach Kauf
Softcover 26,74 €
53,49 € (Listenpreis)
Preis für Deutschland (Brutto)
gültig bis 30. Juni 2021
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Bibliografische Information

Bibliographic Information
Buchtitel
Galois Cohomology and Class Field Theory
Autoren
Übersetzt von
Yafaev, A.
Titel der Buchreihe
Universitext
Copyright
2020
Verlag
Springer International Publishing
Copyright Inhaber
Springer Nature Switzerland AG
eBook ISBN
978-3-030-43901-9
DOI
10.1007/978-3-030-43901-9
Softcover ISBN
978-3-030-43900-2
Buchreihen ISSN
0172-5939
Auflage
1
Seitenzahl
XIV, 338
Anzahl der Bilder
48 schwarz-weiß Abbildungen, 2 Abbildungen in Farbe
Zusätzliche Informationen
English translation of the original French edition published by EDP Sciences, Les Ulis, 2017. Jointly published with EDP Sciences, Les Ulis, France
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