On the $K(\pi ,1)$-problem for restrictions of complex reflection arrangements

Nils Amend, Pierre Deligne, Gerhard Roehrle

Let $W\subset GL(V)$ be a complex reflection group, and $\mathcal{A}(W)$ the set of the mirrors of the complex reflections in $W$. It is known that the complement $X({\mathscr A}(…