£87.63

Brauer Groups, Tamagawa Measures, and Rational Points on Algebraic Varieties (Mathematical Surveys and Monographs)

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£120.19 £83.99 £91.89 £99.79 £107.68 £115.58 £123.48 10 June 2024 14 November 2024 20 April 2025 24 September 2025 01 March 2026

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57 days · current 72 days · current 53 days 53 days 91 days 235 days 69 days 0 59 118 176 235 £87 £88 £90 £92 £94 £99 £120 Days at Price

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Price range: £87 - £120

Price levels: 7 different prices over 630 days

Description

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.

Product Specifications

Colour
White
Format
hardcover
Domain
Amazon UK
Release Date
08 January 2015
Listed Since
12 September 2014

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No barcode data available

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