Fonctions zêta des hauteurs des espaces fibrés

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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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Number Theory, Algebraic Geometry, 14D10, 11G50, 14M25

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http://salesiana.dossiersoluciones.com/handle/123456789/58800

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0003013
 http://arxiv.org/abs/math/0003013

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arXiv