3 papers
math.DG2026
Componentwise Geometry and Monodromy of Generalized Lamé Equations
Ting-Jung Kuo, Xuanpu Liang
We develop a componentwise geometric and monodromy theory for the one-support generalized Lamé equation on an elliptic curve, with singularities at \(0\) and \(\pm p\). Its log-fre…
math.DG2025
Even Cone Spherical Metrics: Blow-Up at a Cone Singularity
Ting-Jung Kuo, Xuanpu Liang, Ping-Hsiang Wu
We study families of spherical metrics on the flat torus with blow-up behavior at prescribed conical singularities at and , where the cone ang…
math.CA2025
Monodromy Equivalence for Lamé-type Equations I: Finite-gap Structures and Cone Spherical Metrics
Ting-Jung Kuo, Xuanpu Liang, Ping-Hsiang Wu
Motivated by the finite-gap structure of the classical Lamé equation (1.2) and its central role in mathematical physics, generalized Lamé-type equations (1.12) are investigated. Fo…