Hurwitz spaces are spaces of meromorphic functions with prescribed orders of poles on curves of a given genus. In this article, we derive new formulas for the degrees of the strata of Hurwitz spaces of genus 0 corresponding to functions that have two degenerate critical values with prescribed partitions of multiplicities of the preimages. More precisely, one of the critical values has an arbitrary multiplicity of the preimages, while the other is the simplest degenerate critical value.

中文翻译：

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有理函数的Hurwitz空间中的多奇异性的同调类

Hurwitz空间是亚纯函数的空间，在给定属的曲线上具有规定的极点顺序。在本文中，我们为属0的Hurwitz空间的层次度推导了新公式，该函数对应于具有两个退化临界值且具有指定的原像多重性划分的函数。更精确地，一个临界值具有任意多个原像，而另一个临界值是最简单的简并临界值。