We prove the irreducibility of the Hurwitz spaces which parametrize Galois coverings of P^1 whose Galois group is an arbitrary Weyl group and the local monodromies are reflections. This generalizes a classical theorem due to Clebsch and Hurwitz.
KANEV V (2006). Hurwitz spaces of Galois coverings of P^1, whose Galois groups are Weyl groups. JOURNAL OF ALGEBRA, 305, 442-456 [10.1016/j.jalgebra.2006.01.008].
Hurwitz spaces of Galois coverings of P^1, whose Galois groups are Weyl groups
KANEV, Vassil
2006-01-01
Abstract
We prove the irreducibility of the Hurwitz spaces which parametrize Galois coverings of P^1 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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