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Central simple algebras and Galois cohomology

Author: Philippe Gille; Tamás Szamuely
Publisher: Cambridge : Cambridge University Press, 2017. ©2017
Series: Cambridge studies in advanced mathematics, 165; Cambridge studies in advanced mathematics.
Edition/Format:   eBook : Document : English : Second editionView all editions and formats
Summary:
The first comprehensive, modern introduction to the theory of central simple algebras over arbitrary fields, this book starts from the basics and reaches such advanced results as the Merkurjev-Suslin theorem, a 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  Read more...
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Genre/Form: Electronic books
Additional Physical Format: Print version:
Gille, Philippe, 1968-
Central simple algebras and Galois cohomology.
Cambridge ; New York, NY : Cambridge University Press, 2017
(DLC) 2017024137
(OCoLC)989726707
Material Type: Document, Internet resource
Document Type: Internet Resource, Computer File
All Authors / Contributors: Philippe Gille; Tamás Szamuely
ISBN: 9781316661277 131666127X
OCLC Number: 1005616732
Description: 1 online resource (vii, 417 pages).
Contents: Quaternion algebras --
Central simple algebras and Galois descent --
Techniques from group cohomology --
The cohomological Brauer group --
Severi-Brauer varieties --
Residue maps --
Milnor K-theory --
The Merkurjev-Suslin theorem --
Symbols in positive characteristic.
Series Title: Cambridge studies in advanced mathematics, 165; Cambridge studies in advanced mathematics.
Responsibility: Philippe Gille, Centre National de la Recherche Scientifique (CNRS), Institut Camille Jordan, Lyon ; Tamás Szamuely, Alfréd Rényi Institute of Mathematics, Hungarian Academy of Sciences, Budapest.

Abstract:

The first comprehensive, modern introduction to a central field in modern algebra with connections to algebraic geometry, K-theory, and number theory. It proceeds from the basics to more advanced  Read more...

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