A stereolithography apparatus having a build platform and a tray, into which the build platform can be immersed, wherein at the bottom in or on the tray a light-transmissive film is formed or arranged and is elastically deformable, having a light source or energy source underneath the film, the tray can be filled with flowable printing material, a control apparatus controls the movement of the build platform relative to the film and the control apparatus superimposes, during the substantially vertical release movement between a slice of a structure, produced by stereolithography, on the build platform from the film, upon the release movement a substantially horizontal, in particular translational, transverse movement which transverse movement extends at an angle between 60 and 120° relative to the release movement and has alternating, in particular reciprocating, movement directions.