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arXiv · 0905.1436

Apparent singularities of Fuchsian equations, and the Painlev\'e VI equation and Garnier systems

R. R. Gontsov·I. V. Vyugin
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Abstract

We study movable singularities of Garnier systems using the connection of the latter with isomonodromic deformations of Fuchsian systems. Questions on the existence of solutions for some inverse monodromy problems are also considered.

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R. R. Gontsov, I. V. Vyugin. 2009-05-09. Apparent singularities of Fuchsian equations, and the Painlev\'e VI equation and Garnier systems. https://doi.org/10.1016/j.geomphys.2011.08.002

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