Holomorphic vector fields tangent to foliations in dimension three

Abstract We consider a singular holomorphic vector field in neighborhood of 0∈ C3and suppose that there is foliation codimension one (outside its set, given by decomposition this into complex surfaces, called leaves) to which it tangent. This means that, when both objects are non-singular, the orbits contained leaves foliation. First we desingularizations objects, trying relate their final models. Then analyse situation where tangent three independent foliations.