We have studied the Cu core-level photoemission spectra in the Anderson imp
urity model for cuprates with different Cu-O networks, dimensionalities (ze
ro, one, two, and three) and Cu valencies (two and three). We focus on the
shape of the leading peak and obtain very good agreement with the experimen
tal data. We show how the shape of the spectrum is related to the valence e
lectronic structure and the Cu-O network but also that other atoms can play
a role.