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Hardcover Torsors and Rational Points Book

ISBN: 0521802377

ISBN13: 9780521802376

Torsors and Rational Points

(Book #144 in the Cambridge Tracts in Mathematics Series)

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...

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