Alexander invariants of hypersurface complements

We study Alexander invariants associated to complements of complex hypersurfaces. We show that for a hypersurface V with non-isolated singularities and in general position at infinity, these global invariants of the hypersurface complement are entirely determined by the degree of the hypersurface, and by the local topological information encoded by the link pairs of singular strata of a regular stratification of V. Our results provide generalizations of similar facts obtained by Libgober in the case of hypersurfaces with only isolated singularities ([28]). As an application, we obtain obstructions on the eigenvalues of monodromy operators associated to the Milnor fibre of a projective hypersurface arrangement