Galois Cohomology and Class Field Theory by David Harari

Galois Cohomology and Class Field Theory by David Harari

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Zusammenfassung

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.

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Galois Cohomology and Class Field Theory by David Harari

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.
“This book is a very good textbook for studying important roles of Galois cohomology in algebraic number theory …This book consists of four parts, and the chapters are well constructed. … Examples and exercises are also well selected and interesting. This English translation is also very useful not only for students but also for researchers who study algebraic number theory in modern mathematical language, such as that of category theory or homological algebra.” (Yasushi Mizusawa, Mathematical Reviews, April, 2022)
“For students with no prior understanding of class field theory, the book is ideal. It is self-contained, and is based on a concatenation of master’s level courses given by the author. … his book seamlessly stitches together all the components in a neat and lucid manner. The whole process of learning this classical theory from Harari’s book makes it a painless and enjoyable experience. … The author takes a lot of care to make illuminating remarks in each chapter …” (Balasubramanian Sury, zbMATH 1466.11086, 2021)
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.
SKU Nicht verfügbar
ISBN 13 9783030439002
ISBN 10 3030439003
Titel Galois Cohomology and Class Field Theory
Autor David Harari
Serie Universitext
Buchzustand Nicht verfügbar
Bindungsart Paperback
Verlag Springer Nature Switzerland AG
Erscheinungsjahr 2020-06-24
Seitenanzahl 338
Hinweis auf dem Einband Die Abbildung des Buches dient nur Illustrationszwecken, die tatsächliche Bindung, das Cover und die Auflage können sich davon unterscheiden.
Hinweis Nicht verfügbar