Apparent singularities of Fuchsian equations, and the Painlevé VI equation and Garnier systems

Details Apparent singularities of Fuchsian equations, and the Painlevé VI equation and Garnier systems Apparent singularities of Fuchsian equations, and the Painlevé VI equation and Garnier systems

2009-05-09

arxiv.org/abs/0905.1436v1

J. Geom. Phys., V. 61(12), 2011, pp. 2419-2435

Mathematics

Classical Analysis and ODEs

24 pages

Scientific paper

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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