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Unramified Brauer Group and Its Applications - Mathematics Book

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Description

Explore the deep connections within arithmetic geometry with Unramified Brauer Group and Its Applications. Part of the Translations of Mathematical Monographs series, this text focuses on the unramified Brauer group of algebraic varieties and its significant use in birational and Diophantine geometry. Written by Sergey Gorchinskiy and Constantin Shramov from the Steklov Mathematical Institute of the Russian Academy of Sciences, this work provides a detailed look at complex mathematical structures. Readers will find comprehensive coverage of Galois cohomology, Brauer groups, and obstructions to stable rationality. The book also addresses Weil restriction of scalars, algebraic tori, the Hasse principle, and Brauer-Manin obstructions. This monograph serves as a specialized resource for mathematicians and researchers working in algebra and geometry. It offers a rigorous examination of how these theoretical concepts apply to modern mathematical problems, making it a valuable addition to any academic library focused on advanced algebraic studies.

Key Features

Focuses on arithmetic geometry with a specific emphasis on the unramified Brauer group of algebraic varieties.

Provides detailed analysis of applications in birational and Diophantine geometry.

Covers essential topics including Galois cohomology, Brauer groups, and obstructions to stable rationality.

Includes technical discussions on Weil restriction of scalars, algebraic tori, and the Hasse principle.

Authored by experts Sergey Gorchinskiy and Constantin Shramov from the Steklov Mathematical Institute.

Published as part of the Translations of Mathematical Monographs series by the American Mathematical Society.

Product Specifications

Format
hardcover
Domain
Amazon UK
Release Date
30 August 2018
Listed Since
08 June 2018

Barcode

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