A method for providing control data for an eye surgical laser, wherein the method comprises at least the following steps performed by at least one control device : - determining visual disorder data, which describes a degree of a visual disorder of a human or animal eye (S1), - determining an actual geometry of a correction area of a cornea of the eye , which describes three-dimensional dimensions of the correction area of the cornea (S2), - based on the determined visual disorder data and based on the determined actual geometry: ascertaining a target geometry of the correction area , which describes a reduction portion of the correction area with a corneal thickness reduced with respect to the actual geometry, and/or a thickening portion with a corneal thickness increased with respect to the actual geometry; wherein the ascertained target geometry satisfies a preset visual disorder reduction criterion, which presets a suitability for reducing the degree of the visual disorder (S3), - based on the determined actual geometry: ascertaining interfaces of a lenticule within the correction area , which at least partially extends across the correction area , wherein a portion of the lenticule is configured such that it transfers the correction area from the determined actual geometry into the ascertained target geometry upon a rotation (D) of the lenticule into the thickening portion around a preset rotational axis extending through the cornea and by a preset rotational angle (S4), and - providing control data, which describes the ascertained interfaces for shaping the lenticule (S6), characterized in that the ascertained interfaces separate the lenticule out of the correction area of the cornea only outside of a rotational area of the lenticule , through which the preset rotational axis extends, such that the lenticule remains connected to the body of the cornea connected to the sclera in the rotational area . - determining visual disorder data, which describes a degree of a visual disorder of a human or animal eye (S1), - determining an actual geometry of a correction area of a cornea of the eye , which describes three-dimensional dimensions of the correction area of the cornea (S2), - based on the determined visual disorder data and based on the determined actual geometry: ascertaining a target geometry of the correction area , which describes a reduction portion of the correction area with a corneal thickness reduced with respect to the actual geometry, and/or a thickening portion with a corneal thickness increased with respect to the actual geometry; wherein the ascertained target geometry satisfies a preset visual disorder reduction criterion, which presets a suitability for reducing the degree of the visual disorder (S3), - based on the determined actual geometry: ascertaining interfaces of a lenticule within the correction area , which at least partially extends across the correction area , wherein a portion of the lenticule is configured such that it transfers the correction area from the determined actual geometry into the ascertained target geometry upon a rotation (D) of the lenticule into the thickening portion around a preset rotational axis extending through the cornea and by a preset rotational angle (S4), and - providing control data, which describes the ascertained interfaces for shaping the lenticule (S6), characterized in that the ascertained interfaces separate the lenticule out of the correction area of the cornea only outside of a rotational area of the lenticule , through which the preset rotational axis extends, such that the lenticule remains connected to the body of the cornea connected to the sclera in the rotational area . <EOS>