Un lemme de Roth sur les groupes algébriques commutatifs

Details Un lemme de Roth sur les groupes algébriques commutatifs Un lemme de Roth sur les groupes algébriques commutatifs

2006-03-10

arxiv.org/abs/math/0603257v1

Mathematics

Number Theory

44 pages

Scientific paper

The 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.

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