Covering manifolds for analytic families of leaves of foliations by analytic curves

Moreover, we add some missing details in the proof of Theorem 1, and simplify some other arguments. Definition of a covering manifold of family of leaves is given in paper [3]. We remind the notations. Suppose F is a foliation with singularities of C by analytic curves, B a Stein hypersurface transversal to the leaves, φp the leaf through the point p ∈ B, M the union of the leaves φp, p ∈ B, M the corresponding covering manifold over