Principe local-global pour les zéro-cycles sur certaines fibrations au-dessus de l'espace projectif

Details Principe local-global pour les zéro-cycles sur certaines fibrations au-dessus de l'espace projectif Principe local-global pour les zéro-cycles sur certaines fibrations au-dessus de l'espace projectif

2010-11-27

arxiv.org/abs/1011.5995v4

Mathematics

Algebraic Geometry

In French, 27 pages. Comparing to the version 3, Lemma 4.1 was not correct and hence has been removed in this version, the hyp

Scientific paper

We study the local-global principle for zero-cycles of degree 1 on certain varieties fibered over the projective space. Among other applications, we prove that the Brauer-Manin obstruction is the only obstruction to the Hasse principle and weak approximation for zero-cycles of degree 1 on Severi-Brauer-variety bundles or Ch\^atelet-surface bundles over the projective space.

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