6533b7d1fe1ef96bd125d2e9

RESEARCH PRODUCT

Hurwitz spaces of Galois coverings of P^1, whose Galois groups are Weyl groups

Vassil Kanev

subject

Hurwitz space Weyl group Braid group

description

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.

10.1016/j.jalgebra.2006.01.008http://hdl.handle.net/10447/8455