A Note on Maurin's Theorem

作者：Bombieri E^*; Habegger P; Masser D; Zannier U

来源：Atti della Accademia Nazionale dei Lincei, Classe di Scienze Fisiche, Matematiche e Naturali, Rendiconti Lincei Matematica e Applicazioni, 2010, 21(3): 251-260.

DOI：10.4171/RLM/570

• Diophantine geometry
• multiplicative dependence
• Zilber conjecture

We combine the strategy described in a paper of the first, third and fourth authors with a recent result of the second author to obtain a new proof of Maurids Theorem to the effect that the points satisfying two independent multiplicative relations on a fixed algebraic curve form a finite set when there is no natural obstacle.

• 出版日期2010