Fonctions zêta des hauteurs des espaces fibrés

Details Fonctions zêta des hauteurs des espaces fibrés Fonctions zêta des hauteurs des espaces fibrés

2000-03-02

arxiv.org/abs/math/0003013v1

Mathematics

Number Theory

Scientific paper

This paper is devoted to the estimation of the number of points of bounded height on fibrations in toric varieties over algebraic varieties, generalizing previous work by Strauch and the second author. Under reasonable hypotheses on ``Arakelov L-functions'' of the base, we show how to deduce a good estimate for the open subset of the total space of the unerlying fibration in torus. In passing, we improve drastically the error term for toric varieties themselves, generalizing a theorem by de la Breteche over any number field.

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