  We study Affleck-Dine leptogenesis via the L H_u flat direction in
supersymmetric theories. We find that the baryon asymmetry is enhanced when the
energy scale of the inflation is sufficiently low. Especially, we consider
models of low scale inflation in which the Hubble parameter during inflation is
comparable to (but slightly larger than) the gravitino mass m_{3/2} \sim 1
\TeV. The observed cosmological baryon asymmetry is obtained with the lightest
neutrino mass m_{\nu_1} \sim 10^{-4} eV, if the reheating process is suddenly
terminated after inflation.
