Finite branch solutions to Painlevé VI around a fixed singular point

DOI10.1016/j.aim.2007.07.011zbMath1163.34061arXiv0704.0679OpenAlexW2033811589MaRDI QIDQ2474309

Katsunori Iwasaki

Publication date: 5 March 2008

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

Full work available at URL: https://arxiv.org/abs/0704.0679

zbMATH Keywords

Riemann-Hilbert correspondencePainlevé VIpower geometryalgebraic branch solutiondynamics on cubic surfacefinite branch solutionresolution of Kleinian singularity

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)

Related Items (4)

The Malgrange-Galois groupoid of the Painlevé VI equation with parameters ⋮ Algebraic isomonodromic deformations of logarithmic connections on the Riemann sphere and finite braid group orbits on character varieties ⋮ Dynamics on character varieties and Malgrange irreducibility of Painlevé VI equation ⋮ Algebraic solutions of the sixth Painlevé equation

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