Hurwitz spaces of Galois coverings of P1, whose Galois groups are Weyl groups

JOURNAL OF ALGEBRA

卷:305

Article

Kanev, Vassil

关键词: Hurwitz space;    Weyl group;    Braid group;   

DOI  :  10.1016/j.jalgebra.2006.01.008

来源: Elsevier

【 摘 要 】

We prove the irreducibility of the Hurwitz spaces which parametrize equivalence classes of 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 Luroth, Clebsch and Hurwitz. (c) 2006 Elsevier Inc. All rights reserved.

【 授权许可】

Free