A device for generating at least one continuous slit-like incision (42) from the posterior surface (48) as far as the anterior surface (46) of the cornea (44) of an eye, comprising a laser device for generating at least one part of the incision with focused pulsed laser radiation, the laser device including controllable components for setting the location of the focus, a control computer for controlling these components, and also a control program for the control computer. The control program contains instructions that are designed to bring about, upon execution by the control computer, the generation of at least one part of the incision (42) originating from the posterior surface (48) of the cornea, the cross-sectional contour of the incision—when observed in the direction from the anterior surface to the posterior surface—deviating from a straight line (60) perpendicular to the surface of the eye.