Lamé operators with finite monodromy -- a combinatorial approach

DOI10.1016/j.jde.2004.08.012zbMath1087.34059OpenAlexW2166373950MaRDI QIDQ703828

Răzvan Liţcanu

Publication date: 11 January 2005

Published in: Journal of Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jde.2004.08.012

zbMATH Keywords

Belyi functiondessin d'enfantLamé differential operators

Mathematics Subject Classification ID

Coverings of curves, fundamental group (14H30) Singularities, monodromy and local behavior of solutions to ordinary differential equations in the complex domain, normal forms (34M35)

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Computation of \(RS\)-pullback transformations for algebraic Painlevé VI solutions ⋮ A classification of coverings yielding Heun-to-hypergeometric reductions ⋮ Lamé operators with projective octahedral and icosahedral monodromies

Cites Work

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• Rigid Local Systems. (AM-139)
• On Lame Operators which are Pull-Backs of Hypergeometric Ones
• Differential Operators with Nilpotent p-Curvature
• Differential Galois theory and non-integrability of Hamiltonian systems

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