论文标题
单订单$ 2 $ pole
Real-normalized differentials with a single order $2$ pole
论文作者
论文摘要
如果所有周期都是真实的，则据说riemann表面上的meromorthic差异是{\ IT实范式化}。给定属的黎曼表面上的实范式差异，其杆的规定顺序形成了真实的甲虫，其拓扑与带有明显点的Riemann表面的模量密切相关。我们的目标是开发研究这种拓扑的工具。我们为带有单个顺序$ 2 $ POL的实际归一化差异的组合模型提出了一个组合模型，并使用它来分析相应的绝对周期叶面。
A meromorphic differential on a Riemann surface is said to be {\it real-normalized} if all its periods are real. Real-normalized differentials on Riemann surfaces of given genus with prescribed orders of their poles form real orbifolds whose topology is closely related to that of moduli spaces of Riemann surfaces with marked points. Our goal is to develop tools to study this topology. We propose a combinatorial model for the real normalized differentials with a single order $2$ pole and use it to analyze the corresponding absolute period foliation.
