Torsors and Rational Points: 144 (Cambridge Tracts in Mathematics, Series Number 144) - Image 1

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Cambridge University Press Torsors and Rational Points: 144 (Cambridge Tracts in Mathematics, Series Number 144)

Name: Torsors and Rational Points: 144 (Cambridge Tracts in Mathematics, Series Number 144)
Brand: Cambridge University Press
Price: 98.66 GBP
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The classical descent on curves of genus one can be interpreted as providing conditions on the set of rational points of an algebraic variety X defined over a number field, viewed as a subset of its adelic points. This is the natural set-up of the Hasse principle and various approximation properties of rational points. The most famous among such conditions is the Manin obstruction exploiting the Brauer-Grothendieck group of X. It emerged recently that a non-abelian generalization of descent sometimes provides stronger conditions on rational points. An all-encompassing 'obstruction' is related to the X-torsors (families of principal homogenous spaces with base X) under algebraic groups. This book, first published in 2001, is a detailed exposition of the general theory of torsors with key examples, the relation of descent to the Manin obstruction, and applications of descent: to conic bundles, to bielliptic surfaces, and to homogenous spaces of algebraic groups.

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Brand: Cambridge University Press
Format: hardcover
ASIN: 0521802377
Category: Books > Subjects > Health, Family & Lifestyle
Domain: Amazon UK
Release Date: 05 July 2001
Listed Since: 12 January 2007

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Cambridge University Press Torsors and Rational Points: 144 (Cambridge Tracts in Mathematics, Series Number 144)

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