Apparent singularities of Fuchsian equations, and the Painlevé VI equation and Garnier systems
arXiv:0905.1436 · doi:10.1016/j.geomphys.2011.08.002
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.
24 pages