| 书目名称 | Class Field Theory | | 副标题 | From Theory to Pract | | 编辑 | Georges Gras | | 视频video | | | 概述 | Includes supplementary material: | | 丛书名称 | Springer Monographs in Mathematics | | 图书封面 |  | | 描述 | .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, idèles, ray class fields, symbols, reciprocity laws, Hasse‘s principles, the Grunwald-Wang theorem, Hilbert‘s towers,...). He also proves some new or less-known results (reflection theorem, structure of the abelian closure of a number field) and lays emphasis on the invariant (/cal T) p, of abelian p-ramification, which is related to important Galois cohomology properties and p-adic conjectures. 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...In the corrected 2nd printing 2005, the author improves some mathematical and bibliographical details and adds a few pages about rank computations for the general reflection theorem; then he gives an arithmetical interpretation for | | 出版日期 | Book 2003 | | 关键词 | Abelian closure; Class field theory; algebra; idele groups; number fields; number theory; reciprocity laws | | 版次 | 1 | | doi | https://doi.org/10.1007/978-3-662-11323-3 | | isbn_softcover | 978-3-642-07908-5 | | isbn_ebook | 978-3-662-11323-3Series ISSN 1439-7382 Series E-ISSN 2196-9922 | | issn_series | 1439-7382 | | copyright | Springer-Verlag Berlin Heidelberg 2003 |
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发表于 2025-3-21 17:52:48
