  We consider the see-saw mechanism for hierarchical Dirac and Majorana
neutrino mass matrices m_D and M_R, including the CP violating phases. Simple
arguments about the structure of the neutrino mass matrix and the requirement
of successful leptogenesis lead to the situation that one of the right-handed
Majorana neutrinos is much heavier than the other two, which in turn display a
rather mild hierarchy. It is investigated how for the neutrino mixing one small
and two large angles are generated. The mixing matrix element |U_{e3}|^2 is
larger than 10^{-3} and a characteristic ratio between the branching ratios of
lepton flavor violating charged lepton decays \ell_j -> \ell_i \gamma is found.
Successful leptogenesis implies sizable CP violation in oscillation
experiments. As in the original minimal see-saw model, the signs of the baryon
asymmetry of the universe and of the CP asymmetry in neutrino oscillations are
equal and there is no connection between the leptogenesis phase and the
effective mass as measurable in neutrinoless double beta decay.
