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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 . 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.

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