Métriques de sous-quotient et théorème de Hilbert-Samuel arithmétique pour les faisceaux cohérents

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dc.creatorRandriam, Hugues
dc.date2004-03-10
dc.date.accessioned2026-07-07T05:06:16Z
dc.date.available2026-07-07T05:06:16Z
dc.descriptionThe aim of this paper is twofold. First we prove a theorem of extension of sections of a coherent subquotient of a hermitian vector bundle on a complex analytic space with control of the norms, without any of the smoothness assumptions that were needed in previously known analogous results. Then we show how to associate an arithmetic Hilbert-Samuel function to a coherent sheaf on an arithmetic variety -- provided this coherent sheaf is a subquotient of a hermitian vector bundle -- and using the classical arithmetic Hilbert-Samuel theorem and our extension theorem, we give the leading term of the so constructed arithmetic Hilbert-Samuel function.
dc.description23 pages, in French
dc.identifierhttps://arxiv.org/abs/math/0403172
dc.identifierhttp://arxiv.org/abs/math/0403172
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/70413
dc.subjectNumber Theory
dc.subjectAlgebraic Geometry
dc.subjectComplex Variables
dc.subject14G40, 32C35, 32F10, 32L10
dc.titleMétriques de sous-quotient et théorème de Hilbert-Samuel arithmétique pour les faisceaux cohérents
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