Unramified Brauer Group and Its Applications is popular PDF and ePub book, written by Sergey Gorchinskiy in 2018-09-10, it is a fantastic choice for those who relish reading online the Mathematics genre. Let's immerse ourselves in this engaging Mathematics book by exploring the summary and details provided below. Remember, Unramified Brauer Group and Its Applications can be Read Online from any device for your convenience.
Unramified Brauer Group and Its Applications Book PDF Summary
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 restriction of scalars, algebraic tori, the Hasse principle, Brauer-Manin obstruction, and étale 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.
Detail Book of Unramified Brauer Group and Its Applications PDF
- Author : Sergey Gorchinskiy
- Release : 10 September 2018
- Publisher : American Mathematical Soc.
- ISBN : 9781470440725
- Genre : Mathematics
- Total Page : 201 pages
- Language : English
- PDF File Size : 7,7 Mb
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