Astuce de Salberger et z\'ero-cycles sur certaines fibrations
Algebraic Geometry
2015-03-12 v4 Number Theory
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.
Cite
@article{arxiv.1104.0204,
title = {Astuce de Salberger et z\'ero-cycles sur certaines fibrations},
author = {Yongqi Liang},
journal= {arXiv preprint arXiv:1104.0204},
year = {2015}
}
Comments
21 pages, in French. Minor mistakes are corrected