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Spécialisation des conditions de Manin pour les variétés fibrées au-dessus de l'espace projectif

Published online by Cambridge University Press:  04 December 2007

David Harari
David Harari
Affiliation:
Laboratoire de Mathématiques, Université Paris-Sud, Bâtiment 425, 91405 Orsay cedex, France [email protected]
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Abstract

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Let $X$ be a smooth and projective variety such that $X$ is fibred over the projective space. We give sufficient conditions ensuring that the fibres contain adelic points satisfying Manin-like conditions.

Keywords

Brauer groupHilbert's irreducibility theorem11G3514G25
Type
Research Article
Information
Compositio Mathematica , Volume 143 , Issue 3 , May 2007 , pp. 603 - 617
Copyright
Foundation Compositio Mathematica 2007