# Courbes algébriques et équations multiplicatives

@article{Maurin2008CourbesAE,
title={Courbes alg{\'e}briques et {\'e}quations multiplicatives},
author={Guillaume Maurin},
journal={Mathematische Annalen},
year={2008},
volume={341},
pages={789-824}
}
We study the intersection of an algebraic curve C lying in a multiplicative torus over $${\bar{\mathbb{Q}}}$$ with the union of all algebraic subgroups of codimension 2. Finiteness of this set has already been proved by Bombieri, Masser and Zannier under the assumption that C is not contained in a translate of a proper subtorus. Following this result, the question of the minimal hypothesis implying finiteness has been raised by these authors, giving rise to the conjecture~: finiteness holds… CONTINUE READING

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