On Coverings With Special Points and Monodromy Group a Weyl Group of Type $B_d$

Francesca Vetro

In this paper we study Hurwitz spaces parameterizing coverings with special points and with monodromy group a Weyl group of type $B_d$. We prove that such spaces are irreducible if $k>3d-3$. Here, $k$ denotes the number of local monodromies that are reflections relative to long roots.