期刊名称：International Journal of Mathematics and Mathematical Sciences
印刷版ISSN：0161-1712
电子版ISSN：1687-0425
出版年度：2008
卷号：2008
DOI：10.1155/2008/609425
出版社：Hindawi Publishing Corporation
摘要：Hurwitz spaces are spaces of pairs (𝑆,𝑓) where 𝑆 is a Riemann surface and 𝑓∶𝑆→0𝑥0005𝑒ℂ a meromorphic
function. In this work, we study 1-dimensional Hurwitz spaces ℋ𝐷𝑝 of meromorphic 𝑝-fold functions with four branched points, three
of them fixed; the corresponding monodromy representation over each branched
point is a product of (𝑝−1)/2 transpositions and the monodromy group
is the dihedral group 𝐷𝑝. We prove that the completion ℋ𝐷𝑝 of the Hurwitz space ℋ𝐷𝑝 is
uniformized by a non-nomal index 𝑝
