Remarks Towards the Classification of $RS_4^2(3)$-Transformations and Algebraic Solutions of the Sixth Painlevé Equation
Abstract
Description
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.
22 pages, submitted for Proceedings of Angers Conference "Asymptotic Theories and Painleve' Equations" (June 01-05, 2004)
22 pages, submitted for Proceedings of Angers Conference "Asymptotic Theories and Painleve' Equations" (June 01-05, 2004)