Torseurs arithmetiques et espaces fibres

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To study problems involving heights as, eg, Manin's conjecture on the number of points of bounded height on an algebraic variety defined over a number field, it is desirable to have a good normalization of these height functions. We show how one can define these on fiber spaces. The construction uses the notion of an ``arithmetic torsor'', which is the analogue for a general algebraic group of adding a hermitian metric at infinity for vector bundles.
28 pages

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Algebraic Geometry, Number Theory, 14G40, 14L, 11G35

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http://salesiana.dossiersoluciones.com/handle/123456789/77917

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/9901006
 http://arxiv.org/abs/math/9901006

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arXiv