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Local fields

Author: Jean-Pierre Serre
Publisher: New York : Springer-Verlag, ©1979.
Series: Graduate texts in mathematics, 67.
Edition/Format:   Print book : EnglishView all editions and formats
Database:WorldCat
Summary:

This text on local fields covers such topics as ramification theory, group cohomology, local class field theory and basic results on discrete valuation rings.

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Material Type: Internet resource
Document Type: Book, Internet Resource
All Authors / Contributors: Jean-Pierre Serre
ISBN: 0387904247 9780387904245 3540904247 9783540904243
OCLC Number: 4933106
Language Note: Translation of : Corps locaux.
Description: 241 pages ; 24 cm.
Contents: pt. I. Local fields (basic facts). Discrete valuation rings and Dedekind domains --
Completion --
pt. II. Ramification. Discriminant and different --
Ramification groups --
The norm --
Artin representation --
pt. III. Group cohomology. Basic facts --
Cohomology of finite groups --
Theorems of Tate and Nakayama --
Galois cohomology --
Class formations --
pt. IV. Local class field theory. Brauer groups of a local field ---
Local class field theory --
Local symbols and existence theorem --
Ramification.
Series Title: Graduate texts in mathematics, 67.
Other Titles: Corps locaux.
Responsibility: Jean-Pierre Serre ; translated from the French by Marvin Jay Greenberg.

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