We present a complete computation of the inflaton decay into very massive f
ermions during preheating, including back-reaction effects. We show that he
avy fermions are produced very efficiently up to masses of order 10(17)-10(
18) GeV; the accessible mass range is thus even broader than the one for he
avy bosons. We apply our findings to the leptogenesis scenario, proposing a
new version of it, in which the massive right-handed neutrinos, responsibl
e for the generation of the baryon asymmetry, are produced during preheatin
g. We also discuss other production mechanisms of right-handed neutrinos in
the early Universe, identifying the neutrino mass parameters for which the
observed baryon asymmetry is reproduced.