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OverviewThis 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 restriction of scalars, algebraic tori, the Hasse principle, Brauer-Manin obstruction, and etale cohomology. The book contains a detailed presentation of an example of a stably rational but not rational variety, which is presented as series of exercises with detailed hints. This approach is aimed to help the reader understand crucial ideas without being lost in technical details. The reader will end up with a good working knowledge of the Brauer group and its important geometric applications, including the construction of unirational but not stably rational algebraic varieties, a subject which has become fashionable again in connection with the recent breakthroughs by a number of mathematicians. Full Product DetailsAuthor: Sergey Gorchinskiy , Constantin ShramovPublisher: American Mathematical Society Imprint: American Mathematical Society Weight: 0.535kg ISBN: 9781470440725ISBN 10: 1470440725 Pages: 200 Publication Date: 30 September 2018 Audience: Professional and scholarly , Professional & Vocational Format: Hardback Publisher's Status: Active Availability: Temporarily unavailable  The supplier advises that this item is temporarily unavailable. It will be ordered for you and placed on backorder. Once it does come back in stock, we will ship it out to you. Table of ContentsReviewsAuthor InformationSergey Gorchinskiy, Steklov Mathematical Institute of Russian Academy of Sciences, Moscow, Russia. Constantin Shramov, Steklov Mathematical Institute of Russian Academy of Sciences, Moscow, Russia. Tab Content 6Author Website:Countries AvailableAll regions |
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