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

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发表于2024-12-02

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

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出版者:Cambridge University Press

作者:Philippe Gille

出品人:

页数:356

译者:

出版时间:2006-9-11

价格:723.20元

装帧:Hardcover

isbn号码:9780521861038

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图书标签: 数学

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

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