Inflation in uplifted supergravities

We present a model of slow roll inflation in the context of effective supergravities arising from string theories. The uplifting of the potential ( to generate de Sitter or Minkowski vacua) is provided by the D-term associated with an anomalous U( 1), in a fully consistent and gauge invariant formulation. We develop a minimal working model which incorporates eternal topological inflation and complies with observational constraints, avoiding the usual obstacles to implementing successful inflation (the. problem and the initial condition problem among others).