1. A method for displaying a tissue containing a fluorescent dye, at least in sections, comprising: illuminating the tissue with a first light that is suitable for exciting the fluorescent dye and includes a clock frequency given by a periodic sequence of illumination phases and dark phases; separately acquiring first fluorescent images generated during the illumination phases by excitation of the fluorescent dye, and second fluorescent images generated during the dark phases by an illumination of the tissue with a second light; correcting the first fluorescent images by subtracting second fluorescent images corresponding thereto; and generating overall images by superimposing on the corrected first fluorescent images corresponding native tissue images which reproduce a tissue surface.