Thin liquid films of ordered diblock copolymers deposited on a solid s
ubstrate form a multilayer stacking parallel to the solid surface. A m
ultilayer with a finite extend can be stable, metastable, or unstable,
depending on the relative values of the surface energies of the vario
us interfaces. The spreading parameter and chemical potential of a n-l
ayer are derived, and used for classifying all possible situations. It
is shown that only mono- and bilayers can be stable, and that non-wet
ting multilayers are subjected to a long-time piling up instability, l
eading in practice to the formation of characteristic ziggourat-like s
tructures.