  In this article we describe three constructions of complex variations of
Hodge structure, proving the existence of interesting opposite filtrations that
generalize a construction of Deligne. We also analyze the relation between
deformations of Frobenius modules and certain maximally degenerate variations
of Hodge structures. Finally, under a certain generation hypothesis, we show
how to construct a Frobenius manifold starting from a deformation of a
Frobenius module.
