Local fields /
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| Author / Creator: | Serre, Jean Pierre, 1926- |
|---|---|
| Uniform title: | Corps locaux. English |
| Edition: | 2nd corr. print. |
| Imprint: | New York : Springer-Verlag, 1995. |
| Description: | viii, 241 p. ; 24 cm. |
| Language: | English |
| Series: | Graduate texts in mathematics ; 67 Graduate texts in mathematics ; 67. |
| Subject: | |
| Format: | Print Book |
| URL for this record: | http://pi.lib.uchicago.edu/1001/cat/bib/7920578 |
Table of Contents:
- Contents: Basic results on discrete valuation rings, Dedekind domains, and completions
- Ramification theory: discriminant, different, ramification subgroups, Hasse-Arf theorem, Artin representations.
- Group cohomology, with emphasis on arithmetical applications: theorems of Tate and Nakayama, Galois cohomology, class formations.
- Local class field theory, presented from the cohomological point of view. The main result is the determination of the topological Galois group of the maximal abelian extension.