On reducible monodromy representations of some generalized Lamé equation

DOI10.1007/s00209-017-1906-zzbMath1395.34087arXiv1610.02158OpenAlexW2531656339MaRDI QIDQ1745294

Zhijie Chen, Ting-Jung Kuo, Chang-Shou Lin, Kouichi Takemura

Publication date: 17 April 2018

Published in: Mathematische Zeitschrift (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1610.02158

zbMATH Keywords

Riemann-Hilbert problemLamé equationPainlevé VI equationreducible monodromy

Mathematics Subject Classification ID

Painlevé and other special ordinary differential equations in the complex domain; classification, hierarchies (34M55) Singularities, monodromy and local behavior of solutions to ordinary differential equations in the complex domain, normal forms (34M35) Linear ordinary differential equations and systems in the complex domain (34M03)

Related Items

On the asymptotics for minimizers of Donaldson functional in Teichmüller theory

Cites Work

• Unnamed Item
• Hamiltonian system for the elliptic form of Painlevé VI equation
• Algebraic solutions of the sixth Painlevé equation
• The Hermite-Krichever ansatz for Fuchsian equations with applications to the sixth Painlevé equation and to finite-gap potentials
• Studies of the Painlevé equations. I: Sixth Painlevé equation \(P_{VI}\)
• Twistor spaces, Einstein metrics and isomonodromic deformations
• Sixth Painlev\'e Equation, Universal Elliptic Curve, and Mirror of $\bold{P}^2$

This page was built for publication: On reducible monodromy representations of some generalized Lamé equation