圖書標籤: 數論 代數 數學 GTM 其餘代數7 代數數論
发表于2024-12-23
局部域 pdf epub mobi txt 電子書 下載 2024
《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.
Serre的書本本經典
評分前麵的代數數論與群的上同調(包括Galois上同調)都是比較有趣的,在簡明的基礎上也有比較細緻的討論,特彆是對分歧群的若乾討論,後麵的局部類域論看得稍微馬虎瞭一點,畢竟不是專門研究代數數論的啊~
評分Serre的書本本經典
評分Serre的書本本經典
評分前麵的代數數論與群的上同調(包括Galois上同調)都是比較有趣的,在簡明的基礎上也有比較細緻的討論,特彆是對分歧群的若乾討論,後麵的局部類域論看得稍微馬虎瞭一點,畢竟不是專門研究代數數論的啊~
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局部域 pdf epub mobi txt 電子書 下載 2024