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 Un lemme de Roth sur les groupes algébriques commutatifs


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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.



Autor: Farhi Bakir

Fuente: https://archive.org/







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