  Models of induced-gravity inflation are formulated within Supergravity
employing as inflaton the Higgs field which leads to a spontaneous breaking of
a U(1)_{B-L} symmetry at Mgut=2x10^16 GeV. We use a renormalizable
superpotential, fixed by a U(1) R symmetry, and logarithmic or semi-logarithmic
Kahler potentials with integer prefactors which exhibit a quadratic non-minimal
coupling to gravity. We find inflationary solutions of Starobinsky type in
accordance with the observations. The inflaton mass is predicted to be of the
order of 10^13 GeV. The model can be nicely linked to MSSM offering an
explanation of the magnitude of the mu parameter consistently with
phenomenological data. Also it allows for baryogenesis via non-thermal
leptogenesis, provided that the gravitino is heavier than about 10 TeV.
