  Let A be an essential complex hyperplane arrangement in an n-dimensional
complex vector space V. Let H denote the union of the hyperplanes, and M denote
the complement to H in V. We develop the real-valued and circle-valued Morse
theory for M and prove, in particular, that M has the homotopy type of a space
obtained from a manifold fibered over a circle, by attaching cells of dimension
n. We compute the Novikov homology of M for a large class of homomorphisms of
the fundamental group of M to R.
