  We present a new mechanism for baryogenesis: at preheating after inflation
fermions acquire a varying mass by their coupling to a time dependent field.
Their CP-violating mass matrix can generate a charge asymmetry to be
transformed into a lepton asymmetry through decay into standard model particles
and heavy Majorana neutrinos. In a concrete model of hybrid inflation we
compare ``coherent baryogenesis'' with nonthermal leptogenesis by perturbative
decay of the inflation condensates.
