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To study problems involving heights as, eg, Manin's conjecture on the numberof points of bounded height on an algebraic variety defined over a numberfield, 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 thenotion of an ``arithmetic torsor'', which is the analogue for a generalalgebraic group of adding a hermitian metric at infinity for vector bundles.

Torseurs Arithmétiques Et Espaces Fibres