£82.68

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£83 today · all-time low £81 (Aug 2026) · usually the usual

Springer - The Brauer-Grothendieck Group: 71 Mathematics Book

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Description

This Springer monograph offers a systematic treatment of the Brauer group of schemes. It covers the foundational work of Grothendieck and extends into recent applications within arithmetic and algebraic geometry. Readers will explore the importance of the cohomological Brauer group and its connection to Diophantine equations and algebraic geometry. The text also addresses the Brauer-Manin obstruction and its role in studying rational points on varieties over global fields. Additionally, it examines how the birational invariance of the Brauer group is used to establish the irrationality of many n-dimensional varieties. This volume is part of the Ergebnisse der Mathematik und ihrer Grenzgebiete series, specifically the 3. Folge / A Series of Modern Surveys in Mathematics, volume 71.

Key Features

This Springer monograph provides a systematic treatment of the Brauer group of schemes.

The content covers foundational work from Grothendieck alongside recent applications in arithmetic and algebraic geometry.

Explore the role of the cohomological Brauer group in relation to Diophantine equations and algebraic geometry.

Learn about the Brauer-Manin obstruction and its use in the study of rational points on varieties over global fields.

The text includes studies on how birational invariance of the Brauer group establishes the irrationality of many n-dimensional varieties.

This book is part of the Ergebnisse der Mathematik und ihrer Grenzgebiete series, volume 71.

Product Specifications

Format
hardcover
Domain
Amazon UK
Release Date
31 July 2021
Listed Since
17 March 2021

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No barcode data available

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