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

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Philippe Gille

Cambridge University Press

2006-9-11

356

723.20元

Hardcover

9780521861038

图书标签: 数学

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发表于2024-11-25

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

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

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 下载 mobi epub pdf txt 电子书