A simple proof of Dahmen's conjectures
Differential Geometry
2023-05-15 v2
Abstract
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.
Cite
@article{arxiv.2211.03067,
title = {A simple proof of Dahmen's conjectures},
author = {Po-Sheng Wu},
journal= {arXiv preprint arXiv:2211.03067},
year = {2023}
}