On the Irreducibility of Hurwitz Spaces of Coverings With an Arbitrary Number of Special Points

Francesca Vetro

In this paper we study Hurwitz spaces of coverings of $Y$ with an arbitrary number of special points and with monodromy group a Weyl group of type $D_d$ where $Y$ is a smooth, complex projective curve. We give conditions for which these spaces are irreducible.