Riemann surfaces与伽罗瓦对应
Riemann surfaces and the Galois correspondence
摘要：
本文利用滤子基引入了一个具有某些附加拓扑的空间，并更新了代数函数的黎曼曲面的定义。然后，我们提出了一个伽罗瓦对应这些黎曼曲面和甲板变换群。我们还将单值定理推广到全局解析函数具有奇点的情形，这些奇点可以是非孤立的。
英文摘要：
In this paper we introduce a space with some additional topologies using filter bases and renew the definition of Riemann surfaces of algebraic functions. We then present a Galois correspondence between these Riemann surfaces and their deck transformation groups. We also extend the monodromy theorem to the case that the global analytic function possesses singularities, which can be non-isolated.
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。
