The invention relates to a device for cutting a flap in the cornea of eye, said device comprising: a laser radiation source for producing laser radiation, and means for shaping and guiding the laser radiation with regard to the cornea (20) in such a manner that a cut (28) is produced in the cornea and allows the flap (26) to be lifted off the cornea. The cut (28) is produced in the hinge area (22) of the cornea in such a manner as to produce an undercut section (30) below the hinge area (22). In this manner, the intrastromal intervention is substantially carried out in a symmetric way in relation to a center axis of the cornea (20), especially when an fs LASIK is used, so that no undesirable post-operative deformations of the cornea occur due to the intraocular pressure.
