关于在根式上可逆的有理函数
Around rational functions invertible in radicals
摘要：
研究了一类具有一些奇妙性质的有理函数。确定这类的性质包括单代数（它们的逆可以用根式表示）、单拓扑（支配它们的最小伽罗瓦覆盖的全空间具有亏格0或1）和单局部拓扑（分支数据）。给出了这些函数的显式表达式，并对它们进行了分类，直至不同的等价关系。
英文摘要：
A class of rational functions characterized by some wonderful properties is studied. The properties that identify this class include simple algebra (their inverses can be expressed in radicals), simple topology (the total space of the minimal Galois covering dominating them has genus 0 or 1) and simple local topol- ogy (branching data). Explicit formulae for these functions are obtained as well as their classification up to different equivalence relations.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
