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Opis

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.

Szczegóły książki

Kategoria Książki po angielsku Mathematics & science Mathematics Number theory

• Pełny tytuł: Torsors and Rational Points
• Autor: Alexei N. Skorobogatov
• Język: Angielski
• Oprawa: Twarda
• Liczba stron: 196
• EAN: 9780521802376
• ISBN: 0521802377
• ID: 01330136
• Wydawca: Cambridge University Press
• Waga: 415 g
• Wymiary: 229 × 152 × 14 mm
• Data wydania: 05. July 2001

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