Unramified Brauer group and its applications / Sergey Gorchinskiy, Constantin Shramov, authors.

"This book is devoted to arithmetic geometry with special attention given to the unramified Brauer group of algebraic varieties and its most striking applications in birational and Diophantine geometry. The topics include Galois cohomology, Brauer groups, obstructions to stable rationality, Weil res...

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Bibliographic Details
Main Authors: Gorchinskiy, Sergey, 1982- (Author)
Shramov, Constantin (Author)
Language:English
Published: Providence, Rhode Island : American Mathematical Society, [2018]
Series:Translations of mathematical monographs ; v. 246.
Subjects:
Brauer groups.
Associative algebras.
Associative rings and algebras > Division rings and semisimple Artin rings > Brauer groups.
Algebraic geometry > Birational geometry > Rationality questions.
Algebraic geometry > Special varieties > Rational and unirational varieties.
Algebraic geometry > Arithmetic problems. Diophantine geometry > Rational points.
Group theory and generalizations > Connections with homological algebra and category theory > Cohomology of groups.
Field theory and polynomials > Homological methods (field theory) > Galois cohomology.
Physical Description:xvii, 179 pages ; 27 cm.
Format: Book

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