Brauer Groups Tamagawa Measures and Rational Points on Algebraic Varieties is popular PDF and ePub book, written by Jorg Jahnel in 2014-12-02, 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, Brauer Groups Tamagawa Measures and Rational Points on Algebraic Varieties can be Read Online from any device for your convenience.
Brauer Groups Tamagawa Measures and Rational Points on Algebraic Varieties Book PDF Summary
The central theme of this book is the study of rational points on algebraic varieties of Fano and intermediate type--both in terms of when such points exist and, if they do, their quantitative density. The book consists of three parts. In the first part, the author discusses the concept of a height and formulates Manin's conjecture on the asymptotics of rational points on Fano varieties. The second part introduces the various versions of the Brauer group. The author explains why a Brauer class may serve as an obstruction to weak approximation or even to the Hasse principle. This part includes two sections devoted to explicit computations of the Brauer-Manin obstruction for particular types of cubic surfaces. The final part describes numerical experiments related to the Manin conjecture that were carried out by the author together with Andreas-Stephan Elsenhans. The book presents the state of the art in computational arithmetic geometry for higher-dimensional algebraic varieties and will be a valuable reference for researchers and graduate students interested in that area.
Detail Book of Brauer Groups Tamagawa Measures and Rational Points on Algebraic Varieties PDF
- Author : Jorg Jahnel
- Release : 02 December 2014
- Publisher : American Mathematical Soc.
- ISBN : 9781470418823
- Genre : Mathematics
- Total Page : 280 pages
- Language : English
- PDF File Size : 13,8 Mb
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