A method for curing cracks in a ceramic shaped body, wherein the ceramic shaped body is made from a material selected from the group consisting of ceramic magnet materials and ceramic superconductor materials, in which a filling material which melts at a lower temperature than the material of the shaped body or is flowable at a lower temperature than the material of the shaped body is applied to the surface of the shaped body at least in the area of a crack and/or is introduced into at least one crack, in which the shaped body with the applied and/or introduced filling material is heated to a temperature at which the material of the shaped body does not yet melt or is not yet flowable, but at which the filling material is in an at least partially molten and flowable state, in which the filling material consists of non-metallic or essentially of non-metallic compounds and is at least partially crystallized, and in which the shaped body with the filling material is cooled, wherein the shaped body with the filling material is kept at the temperature at which the material of the shaped body does not yet melt or is not flowable, but at which the filling material is in the at least partially molten and flowable state, at least until the fused filling material can penetrate at least partially into the crack or into an area that has been removed, and wherein the thermal crystallization conditions for the filling material are selected in such a way that the filling material grows epitaxially on the crack face.