局部域 2024 pdf epub mobi 电子书

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发表于2024-11-04

局部域 2024 pdf epub mobi 电子书

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出版者:

作者:赛瑞

出品人:

页数:241

译者:

出版时间:2008-5

价格:39.00元

装帧:

isbn号码:9787506292306

丛书系列:Graduate Texts in Mathematics

图书标签: 数论代数数学 GTM 其余代数7 代数数论

局部域 2024 pdf epub mobi 电子书图书描述

《局部域》主要内容：The goal of this book is to present local class field theory from the cohomological point of view, following the method inaugurated by Hochschild and developed by Artin-Tate. This theory is about extensions——primarily abelian——of "local" (i.e., complete for a discrete valuation) fields with finite residue field. For example, such fields are obtained by completing an algebraic number field; that is one of the aspects of "localisation".

The chapters are grouped in "parts". There are three preliminary parts: the first two on the general theory of local fields, the third on group cohomology. Local class field theory, strictly speaking, does not appear until the fourth part.

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