Central Simple Algebras and Galois Cohomology 在线电子书 pdf 下载 txt下载 epub 下载 mobi 下载 2024

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Philippe Gille 作者

Cambridge University Press

译者

2006-9-11 出版日期

356 页数

723.20元价格

Hardcover

丛书系列

9780521861038 图书编码

Central Simple Algebras and Galois Cohomology 在线电子书图书标签: 数学

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Central Simple Algebras and Galois Cohomology 在线电子书 epub 下载 mobi 下载 pdf 下载 txt 下载 2024

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Central Simple Algebras and Galois Cohomology 在线电子书 pdf 下载 txt下载 epub 下载 mobi 在线电子书下载

Central Simple Algebras and Galois Cohomology 在线电子书图书描述

This book is the first comprehensive, modern introduction to the theory of central simple algebras over arbitrary fields. Starting from the basics, it reaches such advanced results as the Merkurjev-Suslin theorem. This theorem is both the culmination of work initiated by Brauer, Noether, Hasse and Albert and the starting point of current research in motivic cohomology theory by Voevodsky, Suslin, Rost and others. Assuming only a solid background in algebra, but no homological algebra, the book covers the basic theory of central simple algebras, methods of Galois descent and Galois cohomology, Severi-Brauer varieties, residue maps and, finally, Milnor K-theory and K-cohomology. The last chapter rounds off the theory by presenting the results in positive characteristic, including the theorem of Bloch-Gabber-Kato. The book is suitable as a textbook for graduate students and as a reference for researchers working in algebra, algebraic geometry or K-theory.

Central Simple Algebras and Galois Cohomology 在线电子书下载 mobi epub pdf txt 在线电子书下载

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