Astuce de Salberger et zéro-cycles sur certaines fibrations

Abstract

We prove that the Brauer-Manin obstruction is the only obstruction to the Hasse principle and to the weak approximation for zero-cycles on certain fibrations over a smooth curve or over the projective space. The principal novelty is that the arithmetic hypotheses are supposed only on the fibres over a generalized Hilbertian subset.

21 pages, in French. Minor mistakes are corrected

References in corpus (1)

• Insufficiency of the Brauer-Manin obstruction applied to etale covers

Cited by in corpus (1)

• Zéro-cycles sur les fibrations au-dessus d'une courbe de genre quelconque