Boundary manifolds of projective hypersurfaces

We study the topology of the boundary manifold of a regular neighborhood of a complex projective hypersurface. We show that, under certain Hodge theoretic conditions, the cohomology ring of the complement of the hypersurface functorially determines that of the boundary. When the hypersurface defines an arrangement of hyperplanes, the cohomology of the boundary is completely determined by the combinatorics of the underlying arrangement and the ambient dimension.