Method and device for lithography-based additive production of three-dimensional shaped bodies

A method for the lithography-based generative production of three-dimensional shaped bodies, wherein material that is solidifiable by exposure to electromagnetic radiation is present on a material support that is permeable in at least a region thereof, a building platform is positioned at a distance from the material support, the material located between the building platform and the material support is heated and in the heated state is location-selectively irradiated by a first radiation source and solidified, wherein the electromagnetic radiation is introduced into the material through the material support that is permeable in at least a region thereof to radiation from the first radiation source, wherein the heating of the material is performed by irradiating the material support with electromagnetic radiation of a second radiation source, wherein the material support carries a layer that at least partially absorbs or reflects the radiation from the second radiation source sufficiently to heat the material support to a temperature of 40-300° C., and wherein the electromagnetic radiation of the second radiation source is directed to the region of the material support that is transparent to the radiation of the first radiation source, and wherein the electromagnetic radiation of the second radiation source thereby causes the material support and the material on the material support to be heated uniformly.