  In this article, we consider metrically thin singularities E of the solutions
of the tangential Cauchy-Riemann operators on a C^{2,a}-smooth embedded
Cauchy-Riemann generic manifold M (CR functions on M - E) and more generally,
we consider holomorphic functions defined in wedgelike domains attached to M -
E. Our main result establishes the wedge- and the L^1-removability of E under
the hypothesis that the (\dim M-2)-dimensional Hausdorff volume of E is zero
and that M and M\backslash E are globally minimal. As an application, we deduce
that there exists a wedgelike domain attached to an everywhere locally minimal
M to which every CR-meromorphic function on M extends meromorphically.
