非紧致黎曼曲面是等边三角剖分的
Non-compact Riemann surfaces are equilaterally triangulable
AI总结：
本文证明所有开黎曼曲面均可通过粘合可数个等边三角形构造，等价于存在仅在三点分支的全纯覆盖，进而得出任意黎曼曲面是仅在有限点分支的球面覆盖。
摘要：
我们证明每个开黎曼曲面可通过粘合可数个等边三角形得到，使得每个顶点仅属于有限个三角形。等价地，它是_Belyi曲面_：存在一个全纯分支覆盖到黎曼球面，且仅在三个值处分支。由此可得每个黎曼曲面是球面的分支覆盖，且仅在有限个点处分支。
英文摘要：
We show that every open Riemann surface can be obtained by glueing together a countable collection of equilateral triangles, in such a way that every vertex belongs to finitely many triangles. Equivalently, it is a _Belyi surface_: There exists a holomorphic branched covering to the Riemann sphere that is branched only over three values. It follows that every Riemann surface is a branched cover of the sphere, branched only over finitely many points.
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。
