Flat Structures and Algebraic Solutions to Painlevé VI Equation

DOI10.1007/978-3-319-52842-7_11zbMath1404.34106OpenAlexW2714061637MaRDI QIDQ4645001

Jiro Sekiguchi, Toshiyuki Mano, Mitsuo Kato

Publication date: 9 January 2019

Published in: Trends in Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-3-319-52842-7_11

zbMATH Keywords

Painlevé VI equationpotential vector fieldflat structure

Mathematics Subject Classification ID

Complex surface and hypersurface singularities (32S25) Overdetermined systems of PDEs with variable coefficients (35N10) Isomonodromic deformations for ordinary differential equations in the complex domain (34M56)

Related Items

Regular flat structure and generalized Okubo system ⋮ Hurwitz numbers for reflection groups. II: Parabolic quasi-Coxeter elements ⋮ Flat structure on the space of isomonodromic deformations

Cites Work

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• \(F\)-manifolds with flat structure and Dubrovin's duality
• Towards a nonlinear Schwarz's list
• The fifty-two icosahedral solutions to Painlevé VI
• On a certain generator system of the ring of invariants of a finite reflection group
• Flat structure and potential vector fields related with algebraic solutions to Painlevé VI equation
• UNIFORMIZATION SYSTEMS OF EQUATIONS WITH SINGULARITIES ALONG THE DISCRIMINANT SETS OF COMPLEX REFLECTION GROUPS OF RANK THREE

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