A method for reducing and homogenizing the thickness of a semiconductor layer which lies on the surface of an electrically insulating material, comprising exposing to and etching of the surface of the semiconductor layer by the action of an etchant whose redox potential is adjusted as a function of the material and the desired final thickness of the semiconductor layer, so that the material erosion per unit time on the surface of the semiconductor layer due to the etchant becomes less as the thickness of the semiconductor layer decreases and is only from 0 to 10% of the final thickness per second when a target thickness is reached, and wherein the method is carried out without the action of light or the application of an external electrical voltage.