Method for filling depressions on a semiconductor wafer

A method is disclosed for filling a depression between two vertically adjoining semiconductor layers, in particular an edge depression arising in the context of an isolation trench formation. A covering layer, preferably made of silicon oxide, is deposited in a large-area manner and is then doped with doping material, preferably nitrogen, essentially right over the entire depth of the layer. The doping material provides for an increased rate of removal of the covering layer, so that, after the removal process, the covering layer material only remains in the depressions.