Pomin Wu

activity

20222026

collaborators

3 papers

math.AG2026

A theory of generalized Lamé curves

You-Cheng Chou, Chin-Lung Wang, Po-Sheng Wu

We study the generalized Lam'e equation (GLE) on an elliptic curve $E$ with multiple regular singularities $p = (p_{i})_{i = 1}^{r}$ of weights $n = (n_{i})_{i = 1}^{r}$ .…

math.DG2024

Characterization and enumeration on Lamé equations with finite monodromy

You-Cheng Chou, Chin-Lung Wang, Po-Sheng Wu

We give a complete characterization of the classical Lamé equations $y^{''} = (n (n + 1) ℘ (z) + B) y$ , $n \in R$ , $B \in C$ on flat tori $E_{τ} = C / (Z + Z τ)$ wi…

math.DG2022

A simple proof of Dahmen's conjectures

Po-Sheng Wu

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 equatio…