An ophthalmological treatment apparatus for modifying a shape of a corneal surface of a human eye, including: • a surgical laser device for implementing tissue cuts; • a computerized control device in operative coupling with the surgical laser device, the control device being designed to control the laser device to implement tissue cuts according to a cut geometry with a primary tissue cut and a secondary tissue cut (C'), wherein the primary tissue cut is a relief cut and extends into the depth of the tissue, and wherein the secondary tissue cut (C') lies within the tissue, such that the secondary tissue cut (C') adds to the relieving effect of the primary tissue cut, wherein the primary tissue cut and the secondary tissue cut (C') meet or intersect along a joint line, characterised in that the primary tissue cut and the secondary tissue cut (C') are spatially curved and wherein the primary tissue cut is an arcuate keratotomy cut, wherein the secondary tissue cut (C') extends in a constant distance from a posterior corneal surface or wherein the secondary tissue cut (C') includes a central region that extends in a constant distance from the posterior corneal tissue surface, and an adjoining peripheral region (C P ') that extends from the central region towards the outer eye surface. • a surgical laser device for implementing tissue cuts; • a computerized control device in operative coupling with the surgical laser device, the control device being designed to control the laser device to implement tissue cuts according to a cut geometry with a primary tissue cut and a secondary tissue cut (C'), wherein the primary tissue cut is a relief cut and extends into the depth of the tissue, and wherein the secondary tissue cut (C') lies within the tissue, such that the secondary tissue cut (C') adds to the relieving effect of the primary tissue cut, wherein the primary tissue cut and the secondary tissue cut (C') meet or intersect along a joint line, characterised in that the primary tissue cut and the secondary tissue cut (C') are spatially curved and wherein the primary tissue cut is an arcuate keratotomy cut, wherein the secondary tissue cut (C') extends in a constant distance from a posterior corneal surface or wherein the secondary tissue cut (C') includes a central region that extends in a constant distance from the posterior corneal tissue surface, and an adjoining peripheral region (C P ') that extends from the central region towards the outer eye surface. wherein the primary tissue cut is a relief cut and extends into the depth of the tissue, and wherein the secondary tissue cut (C') lies within the tissue, such that the secondary tissue cut (C') adds to the relieving effect of the primary tissue cut, wherein the primary tissue cut and the secondary tissue cut (C') meet or intersect along a joint line, characterised in that the primary tissue cut and the secondary tissue cut (C') are spatially curved and wherein the primary tissue cut is an arcuate keratotomy cut, wherein the secondary tissue cut (C') extends in a constant distance from a posterior corneal surface or wherein the secondary tissue cut (C') includes a central region that extends in a constant distance from the posterior corneal tissue surface, and an adjoining peripheral region (C P ') that extends from the central region towards the outer eye surface.