Hodge numbers attached to a polynomial map

We attach a limit mixed Hedge structure to any polynomial map f : C-n --> C . The equivariant Hedge numbers of this mixed Hodge structure are invariant s of f which reflect its asymptotic behaviour. We compute them for a generi c class of polynomials in terms of equivariant Hedge numbers attached to is olated hypersurface singularities and equivariant Hedge numbers of cyclic c overings of projective space branched along a hypersurface. We show how the se invariants allow to determine topological invariants of f such as the re al Seifert form at infinity.