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,
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
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
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