图书标签: 数论 代数 数学 GTM 其余代数7 代数数论
发表于2024-12-25
局部域 pdf epub mobi txt 电子书 下载 2024
《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.
从头到尾每个定理每一步都推倒一遍。。。。读了半年多。。。代数基本功强行补回来。。。接下来,52。。。
评分Serre的书本本经典
评分从头到尾每个定理每一步都推倒一遍。。。。读了半年多。。。代数基本功强行补回来。。。接下来,52。。。
评分从头到尾每个定理每一步都推倒一遍。。。。读了半年多。。。代数基本功强行补回来。。。接下来,52。。。
评分前面的代数数论与群的上同调(包括Galois上同调)都是比较有趣的,在简明的基础上也有比较细致的讨论,特别是对分歧群的若干讨论,后面的局部类域论看得稍微马虎了一点,毕竟不是专门研究代数数论的啊~
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局部域 pdf epub mobi txt 电子书 下载 2024