Local fields and their extensions : a constructive approach
著者
書誌事項
Local fields and their extensions : a constructive approach
（Translations of mathematical monographs, v. 121）
American Mathematical Society, c1993
- タイトル別名
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Локальные поля и их расширения : конструктивный подход
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注記
Includes bibliographical references and index
内容説明・目次
内容説明
This text is devoted to the study of complete discrete valuation fields with perfect residue fields. One special feature is the absence of cohomology; although most specialists would find it difficult to conceive of serious discussions in this area without the application of cohomology groups, the authors believe that many problems can be presented more rationally when based on more natural, explicit constructions. In addition, a cohomology-free treatment seems to be preferable for those who are encountering this subject for the first time. The main prerequisite is a standard graduate course in algebra, and familiarity with *r-adic fields is also helpful background.
目次
- 1: Complete discrete valuation fields
- 2: extensions of discrete valuation fields
- 3: the norm map
- 4: local class field theory
- I
- 5: local class field theory
- II
- 6: the group of units in a *rp-adic field
- 7: explicit formulas for the Hilbert norm residue symbold
- 8: explicit formulas for the Hilbert pairing on formal groups
- 9: the Milnor *K-groups of a local field.
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