Brauer Groups

90 (1959), 73-112 M. Auslander and A. Brumer, The Brauer group and Galois cohomology of commutative rings, preprint M. Auslander and 0. Goldman, The Brauer Group of a Commutative Ring, Trans. Amer. Math. Soc. 97 (1960), 367-409 H. Bass, ...

Brauer Groups

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Brauer Groups
Language: en
Pages: 184
Authors: D. Zelinsky
Categories: Mathematics
Type: BOOK - Published: 2006-11-14 - Publisher: Springer

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Rings, Hopf Algebras, and Brauer Groups
Language: en
Pages:
Authors: Stefaan Caenepeel
Categories: Mathematics
Type: BOOK - Published: 2020-09-30 - Publisher: CRC Press

"Based on papers presented at a recent international conference on algebra and algebraic geometry held jointly in Antwerp and Brussels, Belgium. Presents both survey and research articles featuring new results from the intersection of algebra and geometry. "
Brauer Groups, Hopf Algebras and Galois Theory
Language: en
Pages: 488
Authors: Stefaan Caenepeel
Categories: Mathematics
Type: BOOK - Published: 2002-03-31 - Publisher: Springer Science & Business Media

This volume is devoted to the Brauer group of a commutative ring and related invariants. Part I presents a new self-contained exposition of the Brauer group of a commutative ring. Included is a systematic development of the theory of Grothendieck topologies and étale cohomology, and discussion of topics such as
Brauer Groups and the Cohomology of Graded Rings
Language: en
Pages: 280
Authors: Stefaan Caenepeel
Categories: Mathematics
Type: BOOK - Published: 2020-08-27 - Publisher: CRC Press

This book introduces various notions defined in graded terms extending the notions most frequently used as basic ingredients in the theory of Azumaya algebras: separability and Galois extensions of commutative rings, crossed products and Galois cohomology, Picard groups, and the Brauer group.
Brauer Groups and Obstruction Problems
Language: en
Pages: 247
Authors: Asher Auel, Brendan Hassett, Anthony Várilly-Alvarado, Bianca Viray
Categories: Mathematics
Type: BOOK - Published: 2017-03-02 - Publisher: Birkhäuser

The contributions in this book explore various contexts in which the derived category of coherent sheaves on a variety determines some of its arithmetic. This setting provides new geometric tools for interpreting elements of the Brauer group. With a view towards future arithmetic applications, the book extends a number of