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

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.

Latex, 15 pages

References in corpus (3)

• Irreducibility of Hurwitz spaces
• Hurwitz spaces of triple coverings of elliptic curves and moduli spaces of abelian threefolds
• Hurwitz spaces of quadruple coverings of elliptic curves and the moduli space of abelian threefolds A_3(1,1,4)

Cited by in corpus (4)

• Factorization semigroups and irreducible components of Hurwitz space
• Genus stabilization for moduli of curves with symmetries
• On the principally polarized abelian varieties that contain m-minimal curves
• The primitive cohomology of theta divisors