The present disclosure relates to a method for the manufacture of a workpiece having a corrected gear geometry and/or a modified surface structure, in particular by a hard finishing process, in particular generation grinding or honing. Provision is made in this respect that it is achieved by a direct generation of a wobble movement and/or of an eccentricity of the tool that a modification, in particular a profile modification or profile waviness, and/or a defined periodic flank waviness is generated on the active surface of the workpiece machined therewith.