Torseurs arithmetiques et espaces fibres

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dc.creatorChambert-Loir, Antoine
dc.creatorTschinkel, Yuri
dc.date1999-01-04
dc.date.accessioned2026-07-07T05:27:26Z
dc.date.available2026-07-07T05:27:26Z
dc.descriptionTo 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.
dc.description28 pages
dc.identifierhttps://arxiv.org/abs/math/9901006
dc.identifierhttp://arxiv.org/abs/math/9901006
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/77917
dc.subjectAlgebraic Geometry
dc.subjectNumber Theory
dc.subject14G40, 14L, 11G35
dc.titleTorseurs arithmetiques et espaces fibres
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