Remarks Towards the Classification of $RS_4^2(3)$-Transformations and Algebraic Solutions of the Sixth Painlevé Equation

A. V. Kitaev

paper

Remarks Towards the Classification of $R S_{4}^{2} (3)$ -Transformations and Algebraic Solutions of the Sixth Painlevé Equation

arXiv:math/0503082

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 $R S$ -transformations.

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

References in corpus (1)

Some explicit solutions to the Riemann-Hilbert problem

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

Abstract

References in corpus (1)

Remarks Towards the Classification of $R S_{4}^{2} (3)$ -Transformations and Algebraic Solutions of the Sixth Painlevé Equation