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math.AP2026
Geometric analysis on rhombus torus: Green function with two singularities
Zhijie Chen, Erjuan Fu, Chang-Shou Lin +1
Let be the Green function on the flat torus with the singularity at . Lin and Wang (Ann. Math. 2010) proved that 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 with conic angle at each half period point\, \, 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…