  We propose new supergravity models describing chaotic Linde- and
Starobinsky-like inflation in terms of a single chiral superfield. The key
ideas to obtain a positive vacuum energy during large field inflation are (i)
stabilization of the real or imaginary partner of the inflaton by modifying a
Kahler potential, and (ii) use of the crossing terms in the scalar potential
originating from a polynomial superpotential. Our inflationary models are
constructed by starting from the minimal Kahler potential with a shift
symmetry, and are extended to the no-scale case. Our methods can be applied to
more general inflationary models in supergravity with only one chiral
superfield.
