Remarks Towards the Classification of RS42(3)-Transformations and Algebraic Solutions of the Sixth Painlev\'e Equation
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 Painlev\'e equation via the method of RS-transformations.
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