Choose an application

• Reference Manager
• EndNote
• RefWorks (Direct export to RefWorks)

Torsion theory (Algebra) --- Modules (Algebra)

Choose an application

• Reference Manager
• EndNote
• RefWorks (Direct export to RefWorks)

Ideals (Algebra) --- Torsion theory (Algebra) --- Decomposition (Mathematics)

Choose an application

• Reference Manager
• EndNote
• RefWorks (Direct export to RefWorks)

Three-manifolds (Topology). --- Torsion theory (Algebra).

Choose an application

• Reference Manager
• EndNote
• RefWorks (Direct export to RefWorks)

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.

Torsion theory (Algebra) --- Rational points (Geometry)

Choose an application

• Reference Manager
• EndNote
• RefWorks (Direct export to RefWorks)

Ordered algebraic structures --- Modules (Algebra) --- Rings (Algebra) --- Torsion theory (Algebra) --- Congresses.