Arithmetic Duality Theorems (Perspectives in Mathematics)

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9780124980402: Arithmetic Duality Theorems (Perspectives in Mathematics)

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 in number theory and arithmetic geometry. The text covers these theorems in Galois cohomology, ,tale cohomology, and flat cohomology and addresses applications in the above areas. The writing is expository and the book will serve as an invaluable reference text as well as an excellent introduction to the subject.

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This volume presents for the first time complete proofs of the fundamental arithmetic duality theorems that have come to play an increasingly important role in number theory and arithmetic geometry. Chapter 1 is devoted to an exposition of these theorems in the Galois cohomology of number fields announced by Tate in 1962 and describes later work in the same area. The discussion assumes only a knowledge of basic Galois cohomology and class field theory.
Chapter 2 focuses on the work of Artin and Verdier who re-interpreted and developed Tate's ideas in the framework of etale cohomology; some of the more recent developments in this area are also covered.
Finally, in Chapter 3, which contains a number of new results, it is shown how flat cohomology is needed in order to prove and to apply duality theorems in the case of groups which have torsion of order divisible by one of the residue characteristics.

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"This volume presents for the first time complete proofs of the fundamental arithmetic duality theorems that have come to play an increasingly important role in number theory and arithmetic geometry....Will be of great interest to many mathematicians."
--SCI-TECH BOOK NEWS

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Milne, J. S.
Published by Academic Press, Boston. (1986)
ISBN 10: 0124980406 ISBN 13: 9780124980402
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Book Description Academic Press, Boston., 1986. Hardcover. Book Condition: Good. 8vo, hardcover. No dj, as issued. Good condition. Contents bright & clean, binding tight; covers glossy. However, 3-inch chip across lower corner of front endpaper & half-title pg, not affecting interior; pen-marks on front endpaper. x, 419 p. Bookseller Inventory # 1150327.29

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J. S. Milne
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Book Description Academic Press Inc, 1987. Book Condition: Good. This is an ex-library book and may have the usual library/used-book markings inside.This book has hardback covers. In good all round condition. No dust jacket. Bookseller Inventory # 5854927

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J. S. Milne
Published by Academic Press (1987)
ISBN 10: 0124980406 ISBN 13: 9780124980402
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Book Description Academic Press, 1987. Hardcover. Book Condition: Used: Good. Bookseller Inventory # SONG0124980406

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