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Effective results for points on certain subvarieties of tori

Effective results for points on certain subvarieties of tori

Abstract The combined conjecture of Lang-Bogomolov for tori gives an accurate description of the set of those points x of a given subvariety of $\mathbb{G}_{\bf m}^N(\oQ )=(\oQ^*)^N$ , that with respect to the height are “very close” to a given subgroup Γ of finite rank of $\mathbb{G}_{\bf m}^N(\oQ)$ . Thanks …