Abstract: The invention is directed to an arrangement for generating fingerprints for an optoelectronic image recording which has a prism for illuminating and imaging fingerprints of at least one finger that is placed on a support surface of the prism. At least one heating element is provided for preventing condensation effects occurring at the support surface. The object of the invention is to find a novel possibility for generating fingerprints for the optoelectronic recording of the fingers of a hand which enables an efficient heating of the support surface without requiring long warm-up phases when putting into operation and which, at the same time, is robust and not sensitive to mechanical and chemical stresses. This object is met, according to the invention, in that the prism at the support surface is provided with an optically active plane-parallel cover layer comprising a hard optical material with good heat conductivity.