Ceramic filter membrane and filter module

The invention relates to a ceramic filter membrane for filtering a fluid (50), which is prepared by the following steps A providing a flexible support structure (1, 5, 8); B impregnating the support structure having a ceramic-containing slurry mass (12); and C curing of the slurry (12) to the ceramic flat filter membrane (20) is designed as a flat membrane filter, and a further filter membrane with finger pores and a ceramic filter module.