Search results for " Weyl group of type D_d"

Irreducibility of Hurwitz spaces of coverings with one special fiber and monodromy group a Weyl group of type D d

2007

Let Y be a smooth, connected, projective complex curve. In this paper, we study the Hurwitz spaces which parameterize branched coverings of Y whose monodromy group is a Weyl group of type D d and whose local monodromies are all reflections except one. We prove the irreducibility of these spaces when $$Y \simeq \mathbb {P}^{1}$$ and successively we extend the result to curves of genus g ≥  1.