Deformations of hypersolvable arrangements

The hypersolvable class of arrangements introduced in [Topology 37 (6) (1998) 1135–1164] contains the fiber-type ones, the generic ones and many others. By extension of the deformation method proposed in [Topology 37 (6) (1998) 1135–1164], we prove that every hypersolvable arrangement can be deformed into a fiber-type one, with the same fundamental group and the same collinearity relations.