Kahler potentials for hilltop F-term hybrid inflation

We consider the basic supersymmetric (SUSY) models of F-term hybrid inflation (FHI). We show that a simple class of Kahler potentials ensures a resolution to the eta problem and allows for inflation of hilltop type. As a consequence, observationally acceptable values for the spectral index, n(s), can be achieved constraining the coefficient c(4K) of the quartic supergravity correction to the inflationary potential. For about the central value of n(s), in the case of standard FHI, the grand unification (GUT) scale turns out to be well below its SUSY value with the relevant coupling constant kappa in the range (0.0006 - 0.15) and c(4K) similar or equal to -(1100 - 0.05). In the case of shifted [smooth] FHI, the GUT scale can be identified with its SUSY value for c(4K) similar or equal to - 16 [c(4K) similar or equal to - 1/16].