Hurwitz spaces of Galois coverings of P^1 with Galois groups Weyl groups

Vassil Kanev

arxiv: math/0508134 · v1 · pith:JNKQZDLYnew · submitted 2005-08-07 · 🧮 math.AG · math.GR

Hurwitz spaces of Galois coverings of P¹ with Galois groups Weyl groups

Vassil Kanev This is my paper

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keywords galoishurwitzcoveringsgroupgroupsspacesweylarbitrary

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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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Hurwitz spaces of Galois coverings of P¹ with Galois groups Weyl groups

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