The Milnor fiber of a generic arrangement
and F f l ( 1 ) is the Milnor fiber of the map f . Let ~=exp(27~i/n). Let h*: H*(F) ---~H*(F) be the monodromy induced by h(zl,...,zl)=(~zl,...,~zz). Consider all homology and cohomology with complex coefficients and let bk=dim Hk(F) be the k-th Betti number of F. Since F is a Stein space of dimension ( / 1 ) we have H k ( F ) = 0 for k>_l. If f has an isolated singularity it is known from Milnor's work that bk(F)=0 for l < k < l 2 and that bz_t(F)=(n-1) l. The characteristic polynomial of the automorphism induced by the monodromy on Hz-I(F) was computed in [7]. In [9] we gave an explicit basis of differential forms for the nonvanishing group HI-I(F). The classes are all represented as restrictions to F of differential forms qw where q is a homogeneous polynomial and