  We show that the vacuum structure of a generic multi-Higgs-doublet model
shares several important features with the vacuum structure of the two and
three Higgs-doublet model. In particular, one can still define the usual charge
breaking, spontaneous CP breaking and normal (charge and CP preserving)
stationary points. We analyse the possibility of charge or spontaneous CP
breaking, by studying the relative depth of the potential in each of the
possible stationary points.
