2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/110131We give some results concerning the smoothness of the image of a real-analytic submanifold in complex space under the action of a finite holomorphic mapping. For instance, if the submanifold is not contained in a proper complex subvariety, we give a necessary and sufficient condition guaranteeing that its image is smooth and the mapping is transversal to the image.12 pagesComplex VariablesAlgebraic GeometryDifferential Geometry32H35, 32V40text