Chang-Shou Lin

activity

20242026

collaborators

Showing 2026Show all

3 papers · 1 filter

math.AP2026

Geometric analysis on rhombus torus: Green function with two singularities

Zhijie Chen, Erjuan Fu, Chang-Shou Lin +1

Let $G (z)$ be the Green function on the flat torus $E_{τ} = C / (Z + Z τ)$ with the singularity at $0$ . Lin and Wang (Ann. Math. 2010) proved that $G (z)$ has at m…

math.AP2026

Classification of spherical metrics on tori with four singularities, I: half periods

Erjuan Fu, Chang-Shou Lin

Classifying the spherical metrics on a torus $E_{τ}$ with $4 π$ conic angle at each half period point\, $ω_{k} / 2, k = 0, 1, 2, 3$ \, is equivalent to classify solutions of the following c…

math.CA2026

On monodromy and spectral geometry of generalized Lamé equations with four singularities, I: half periods

Erjuan Fu, Chang-Shou Lin

We consider the unitary monodromy problem of the following generalized Lamé equations with apparent parameters \begin{equation*} y^{\prime\prime}(z)=\left(\frac{3}{4}\sum_{k=0}^3\w…