《局部域》主要內容：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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评分從頭到尾每個定理每一步都推倒一遍。。。。讀瞭半年多。。。代數基本功強行補迴來。。。接下來，52。。。
评分從頭到尾每個定理每一步都推倒一遍。。。。讀瞭半年多。。。代數基本功強行補迴來。。。接下來，52。。。
评分Serre的書本本經典
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