  We relate the cohomology of the Orlik-Solomon algebra of a discriminantal
arrangement to the local system cohomology of the complement. The Orlik-Solomon
algebra of such an arrangement (viewed as a complex) is shown to be a linear
approximation of a complex arising from the fundamental group of the
complement, the cohomology of which is isomorphic to that of the complement
with coefficients in an arbitrary complex rank one local system. We also
establish the relationship between the cohomology support loci of the
complement of a discriminantal arrangement and the resonant varieties of its
Orlik-Solomon algebra.
