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Pages: 831
Authors: Jürgen Neukirch
Categories: Mathematics
Type: BOOK - Published: 2013-09-26 - Publisher: Springer Science & Business Media

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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,
Galois Cohomology and Class Field Theory
Language: en
Pages: 336
Authors: David Harari
Categories: Mathematics
Type: BOOK - Published: 2020-06-24 - Publisher: Springer Nature

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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
Local Fields
Language: en
Pages: 249
Authors: Jean-Pierre Serre
Categories: Mathematics
Type: BOOK - Published: 2013-06-29 - Publisher: Springer Science & Business Media

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The goal of this book is to present local class field theory from the cohomo logical point of view, following the method inaugurated by Hochschild and developed
Arithmetic Duality Theorems
Language: en
Pages: 440
Authors: J. S. Milne
Categories: Mathematics
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Here, published for the first time, are the complete proofs of the fundamental arithmetic duality theorems that have come to play an increasingly important role
A Gentle Course in Local Class Field Theory
Language: en
Pages: 309
Authors: Pierre Guillot
Categories: Mathematics
Type: BOOK - Published: 2018-11 - Publisher: Cambridge University Press

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A self-contained exposition of local class field theory for students in advanced algebra.