Abstract: A method for the production of a workpiece having a corrected gear tooth geometry and/or a modified surface structure by a diagonal generating method by a modified tool, wherein a modification of the surface geometry of the tool is produced in that the position of the tool dresser is varied during dressing in dependence on the angle of rotation of the tool and/or on the tool width position and/or wherein a modification of the surface geometry is produced which has a constant value at least locally in the generating pattern in a first direction of the tool and is given by a function in a second direction of the tool which extends perpendicular to the first direction, wherein the modification of the tool produces a corresponding modification on the surface of the workpiece, and wherein the modification on the surface of the workpiece is a directed crowning without shape deviations.