  The low reheat temperature at the end of inflation from the gravitino bound
constrains the creation of heavy Majorana neutrinos associated with models of
leptogenesis. However, a detailed view of the reheating of the Universe at the
end of inflation implies that the maximum temperature during reheating,
$\Tmax$, can be orders of magnitude higher than the final reheat temperature.
This then allows for the production of the heavy Majorana neutrinos needed for
leptogenesis. We carry out the complementary calculation of the gravitino
production during reheating and its dependence on $\Tmax$. We find that the
gravitino abundance generated during reheating for a quartic potential is
comparable to the standard estimate of the abundance generated after reheating
and study its consequences for leptogenesis.
