  We present a supergravity inflationary scenario in which the inflaton field
takes values considerably larger than the Planck scale. It is based on a class
of inflationary potentials which can be derived from ``singular'' Kaehler
potentials assuming simple superpotentials of the type $W\simS^n$. To this
class belong, among many others, all potentials which are even infinitesimally
smaller than the one derived from the minimal Kaehler potential. Our scenario
allows for a detectable gravitational wave contribution to the microwave
background anisotropy.
