Discriminantal bundles, arrangement groups, and subdirect products of free groups

Daniel C. Cohen, Michael J. Falk, Richard C. Randell

We construct bundles $E_k(\A,\F) \to M$ over the complement $M$ of a complex hyperplane arrangement \A, depending on an integer $k\ge 1$ and a set $\F=\{f_1, \ldots, f_μ\}$ of co…