Bordifications of hyperplane arrangements and their curve complexes

The complement of an arrangement hyperplanes in $\mathbb C^n$ has a natural bordification to manifold with corners formed by removing (or "blowing up") tubular neighborhoods the and certain their intersections. When is complexification real simplicial arrangement, closely resembles Harvey's moduli space. We prove that faces universal cover are parameterized simplices complex $\mathcal{C}$, vertices which irreducible "parabolic subgroups" fundamental group complement. So, $\mathcal{C}$ plays similar role for as curve does Also, analogy complexes spherical buildings, we homotopy type wedge spheres.