The Unramified Brauer Group and its Applications

The book is a textbook on arithmetic geometry. The exposition is built around the concept of the unramified Brauer group of an algebraic variety. Topics covered in the book include Galois cohomology, Brauer groups, obstacles to stable rationality, arithmetic and... geometry of quadrics, Weil's restriction of scalars, algebraic tori, an example of a non-rational stable rational variety, Brauer-Manin obstructions. The entire material is divided into relatively simple problems, accompanied by detailed instructions.

For senior students, graduate students, and researchers.

Author: ГОРЧИНСКИЙ С.О., ШРАМОВ К. А.

Printhouse: MTsNMO

Series: Современные лекционные курсы

Year of publication: 2020

ISBN: 9785443912714

Number of pages: 200

Size: 20.8x14.3x1 mm

Cover type: Мягкая обложка

Weight: 210 g

ID: 1523612

The book is a textbook on arithmetic geometry. The exposition is built around the concept of the unramified Brauer group of an algebraic variety. Topics covered in the book include Galois cohomology, Brauer groups, obstacles to stable rationality, arithmetic and geometry of quadrics, Weil's restriction of scalars, algebraic tori, an example of a non-rational stable rational variety, Brauer-Manin obstructions. The entire material is divided into relatively simple problems, accompanied by detailed instructions.

For senior students, graduate students, and researchers.

€ 4.39

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