In this paper, we present an alternative proof of a finiteness theorem due to
Bombieri, Masser and Zannier concerning intersections of a curve in the
multiplicative group of dimension n with algebraic subgroups of dimension n-2.
The proof uses a method introduced for the first time by Pila and Zannier to
give an alternative proof of Manin-Mumford conjecture and a theorem to count
points that satisfy a certain number of linear conditions with rational
coefficients. This method has been largely used in many different problems in
the context of "unlikely intersections".Comment: 16 page