Let f be a (cohomologically) tame polynomial.

Similar to the local case (isolated hypersurface singularities), we want to compute the following data:

• the (global) Bernstein polynomial of f,
• the (complex) monodromy matrix of f at infinity,
• the spectrum of f,
• the V-filtration on the (global) Brieskorn lattice,
• a good bases (M. Saito) of the (global) Brieskorn lattice.