Annular cornea implant for inserting into a cornea pocket of the human eye via a narrow, tunnel-shaped access, with the end shape of the cornea implant depending on the shortsightedness or astigmatism to be corrected. The aim of the invention is to enable the cornea implant to be implanted in the cornea pocket in a simple manner and in an optimum position. To this end, the implant has a shape memory which is impressed on the basis of the geometry and/or material of the implant, and is designed in such a way that the deformability from a starting shape enables the insertion of the cornea implant into the cornea pocket via the narrow access, and the cornea implant has an adjustment force in the end shape thereof, which enables an essentially independent unfolding of the cornea implant in the cornea pocket.