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

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

2005-08-07

arxiv.org/abs/math/0508134v1

Mathematics

Algebraic Geometry

Latex, 15 pages

Scientific paper

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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