论文标题
达曼猜想的简单证明
A simple proof of Dahmen's conjectures
论文作者
论文摘要
S. R. Dahmen猜想了具有有限（普通或投影）单肌的la脚方程数量，并提出了一些证据。众所周知，具有单一单一单元的la脚方程对应于带有一个圆锥形奇异性的球形托里，并且最近对这种表面的几何形状进行了研究。在本文中，我们将将结果应用于球形托里，以提供Dahmen猜想的替代证明。
The number of Lame equations with finite (ordinary or projective) monodromy has been conjectured by S. R. Dahmen, and a few proofs have been proposed. It is known that Lame equations with unitary monodromy are corresponding to spherical tori with one conical singularity, and the geometry of such surfaces had been studied with triangulation recently. In this paper, we will apply the results on spherical tori to give an alternative proof of Dahmen's conjectures.
