Hurwitz spaces of Galois coverings of P1 with Galois groups Weyl groups
Vassil Kanev
Abstract
We prove the irreducibility of the Hurwitz spaces which parametrize Galois coverings of P1 whose Galois group is an arbitrary Weyl group and the local monodromies are reflections. This generalizes a classical theorem due to Clebsch and Hurwitz.
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