Abstract:
We consider the problem of confluence of singular points under isomonodromic deformations of linear systems. We prove that a system with irregular singular points is a result of isomonodromic confluence of singular points with minimal Poincaré ranks, i.e., of singular points whose Poincaré rank does not decrease under gauge transformations.
Keywords:isomonodromic deformation, linear differential equation, confluence of singular points, Poincaré rank, gauge transformation, monodromy matrix, Fuchsian system.
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