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Non-abelian Cohomology and Rational Points

Published online by Cambridge University Press:  04 December 2007

David Harari  and
Alexei N. Skorobogatov
David Harari
Affiliation:
DMA, ENS, 45 rue d'Ulm, 75005 Paris, France. E-mail: harari@dma.ens.fr
Alexei N. Skorobogatov
Affiliation:
Department of Mathematics, Imperial College, 180 Queen's Gate, London SW7 2BZ, U.K. E-mail: a.skorobogatov@ic.ac.uk.
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Abstract

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Using non-abelian cohomology we introduce new obstructions to the Hasse principle. In particular, we generalize the classical descent formalism to principal homogeneous spaces under noncommutative algebraic groups and give explicit examples of application.

Keywords

Hasse principlenon-Abelian cohomologytorsors
Type
Research Article
Information
Compositio Mathematica , Volume 130 , Issue 3 , February 2002 , pp. 241 - 273
Copyright
© 2002 Kluwer Academic Publishers