Class field theory: from theory to practice
"Global class field theory is a major achievement of algebraic number theory, based on the functorial properties of the reciprocity map and the existence theorem. The author works out the consequences and the practical use of these results by giving detailed studies and illustrations of classical subjects (classes, ideles, ray class fields, symbols, reciprocity laws, Hasse's principles, the Grunwald-Wang theorem, Hilbert's towers ...). This book, intermediary between the classical literature pu…
Read More ↓Title Statements
- Full title :Class field theory : from theory to practice / Georges Gras ; [translator of the original French manuscript, Henri Cohen].
Summary
"Global class field theory is a major achievement of algebraic number theory, based on the functorial properties of the reciprocity map and the existence theorem. The author works out the consequences and the practical use of these results by giving detailed studies and illustrations of classical subjects (classes, ideles, ray class fields, symbols, reciprocity laws, Hasse's principles, the Grunwald-Wang theorem, Hilbert's towers ...). This book, intermediary between the classical literature published in the sixties and the recent computational literature, gives much material in an elementary way, and is suitable for students, researchers, and all who are fascinated by this theory."--Jacket.
Read More ↓Edition Statements
- Publication Date:©2003.
Publication Statements
- Publisher(s):Springer
- Place of Publication:Berlin
- Language:eng
- Publication Date:©2003.
The Physical Object
- Description:xiii, 491 pages : : illustrations ; : 24 cm
Edition Identifiers
- ISBN:3540441336, 9783540441335, 3642079083, 9783642079085
- oclc:ocm50684062
- LC Classification:QA247
- Dewey Decimal:512/.74
Subjects
Writers
More from this Series
No reviews yet. Be the first to rate this work.
Related Works
more →
Iwasawa theory of elliptic curves with complex multiplication: p-adic L functions
De Shalit, Ehud
Rate & Review