Remarks Towards the Classification of RS₄²(3)-Transformations and Algebraic Solutions of the Sixth Painlevé Equation

2005/03/05 by A. V. Kitaev, Kitaev, A. V. · 1 citation
Mathematics · Physics and Astronomy · #33E17 #33E30 #34M55 #Advanced Differential Equations and Dynamical Systems #Advanced Differential Geometry Research #Classical Analysis and ODEs (math.CA) #FOS: Mathematics #Nonlinear Waves and Solitons #math.CA #msc:33E17 #msc:33E30 #msc:34M55

paper · pdf · doi:10.48550/arxiv.math/0503082

22 pages, submitted for Proceedings of Angers Conference "Asymptotic Theories and Painleve' Equations" (June 01-05, 2004)

arxiv created 2005/03/05 · openalex publication_date 2005/03/05 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We introduce a notion of the divisor type for rational functions and show that it can be effectively used for the classification of the deformations of dessins d'enfants related with the construction of the algebraic solutions of the sixth Painlevé equation via the method of RS-transformations.

Cited by

• Computation of RS-pullback transformations for algebraic Painleve VI solutions

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