Un lemme de Roth sur les groupes algébriques commutatifs

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dc.creatorBakir, Farhi
dc.date2006-03-10
dc.date.accessioned2026-07-07T07:06:46Z
dc.date.available2026-07-07T07:06:46Z
dc.descriptionThe first effective versions of Faltings product theorem are given by J.H. Evertse and R. Ferretti. Their results are improved quantitatively by P. Philippon, thanks to Samuel's multiplicity instead of the length in his zeros estimate. This version is a generalization of the usuel Roth's lemma on powers of the additive group. Here following this approach with some modifications, we obtain an analogue of the theorem for any product of commutative algebraic groups.
dc.description44 pages
dc.identifierhttps://arxiv.org/abs/math/0603257
dc.identifierhttp://arxiv.org/abs/math/0603257
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/110146
dc.subjectNumber Theory
dc.subjectCommutative Algebra
dc.subject11J, 11K60
dc.titleUn lemme de Roth sur les groupes algébriques commutatifs
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