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

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

2005-03-05

arxiv.org/abs/math/0503082v1

Mathematics

Classical Analysis and ODEs

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

Scientific paper

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 Painlev\'e equation via the method of $RS$-transformations.

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