  We establish the holomorphic wedge extendability of CR functions, defined on
an everywhere locally minimal generic submanifold M of C^n and having
singularities contained in a submanifold N of codimension 1, 2 or 3, assuming
some transversality conditions about the relative disposition of N with respect
to the complex tangent bundle to M. The statements hold in arbitrary
codimension and are obtained by applying the theory of normal deformations of
analytic discs, due to A.E. Tumanov in 1994 and also the FBI propagation of
singularities phenomenon enjoyed by CR functions, due to J.-M. Trepreau in
1990. Related results in the hypersurface case were obtained simultaneously by
B. Joricke in 1992-96 and by E. Porten in his thesis (1996).
