ON THE INTERSECTION OF RATIONAL TRANSVERSAL SUBTORI.

We show that under a suitable transversality condition, the intersection of two rational subtori in an algebraic torus (ℂ*)ⁿ is a finite group which can be determined using the torsion part of some associated lattice. We also give applications to the study of characteristic varieties of smooth complex algebraic varieties. As an example we discuss A. Suciu's line arrangement, the so-called deleted B₃-arrangement. [ABSTRACT FROM AUTHOR]