  We review a number of unimodular no-scale supergravity models with F-term
SUSY breaking which support technically natural de Sitter vacua. A variant of
these models develops a stage of inflection-point inflation which can be
realized for subplanckian field values consistently with the observational
data. For central value of the spectral index ns, the necessary tuning is of
the order of 10^-6, the tensor-to-scalar ratio is tiny whereas the running of
ns is around -3x10^-3. Our proposal is compatible with high-scale SUSY and the
results of LHC on the Higgs boson mass.
