Cohomology of Number Fields 在线电子书 pdf 下载 txt下载 epub 下载 mobi 下载 2024

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Wingberg, K. 作者

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出版日期

600 页数

$ 175.15 价格

丛书系列

9783540666714 图书编码

Cohomology of Number Fields 在线电子书图书标签: 数学数论

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发表于2024-11-22

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Cohomology of Number Fields 在线电子书 epub 下载 mobi 下载 pdf 下载 txt 下载 2024

Cohomology of Number Fields 在线电子书 pdf 下载 txt下载 epub 下载 mobi 下载 2024

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Cohomology of Number Fields 在线电子书 pdf 下载 txt下载 epub 下载 mobi 在线电子书下载

Cohomology of Number Fields 在线电子书图书描述

Galois modules over local and global fields form the main subject of this monograph, which can serve both as a textbook for students, and as a reference book for the working mathematician, on cohomological topics in number theory. The first part provides the necessary algebraic background. The arithmetic part deals with Galois groups of local and global fields: local Tate duality, the structure of the absolute Galois group of a local field, extensions of global fields with restricted ramification, cohomology of the idhle and the idhle class groups, Poitou-Tate duality for finitely generated Galois modules, the Hasse principle, the theorem of Grunwald-Wang, Leopoldt's conjecture, Riemann's existence theorem for number fields, embedding problems, the theorems of Iwasawa and of Safarevic on solvable groups as Galois groups over global fields, Iwasawa theory of local and global number fields, and the characterization of number fields by their absolute Galois groups.

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