TORSORS AND RATIONAL POINTS by Alexei Skorobogatov ( 9780511549588 )

Item Details

Title:

TORSORS AND RATIONAL POINTS

By:

Format:

Electronic book text

List price:	£85.00
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ISBN 10:

051154958X

ISBN 13:

9780511549588

Publisher:

CAMBRIDGE UNIVERSITY PRESS

Pub. date:

5 May, 2010

Series:

Cambridge Tracts in Mathematics 144

Description:

This book, first published in 2001, is a complete and coherent exposition of the theory and applications of torsors to rational points.

Synopsis:

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.

Publication:

Imprint:

Cambridge University Press (Virtual Publishing)

Returns:

Non-returnable

Some other items by this author:

BRAUER-GROTHENDIECK GROUP (HB)

NUMBER THEORY AND ALGEBRAIC GEOMETRY

NUMBER THEORY AND ALGEBRAIC GEOMETRY (PB)

TORSORS AND RATIONAL POINTS (HB)

TORSORS, ETALE HOMOTOPY AND APPLICATIONS TO RATIONAL POINTS (PB)