Geodesic
Isomonodromic Confluence of Singular Points
Matematičeskie zametki, Tome 87 (2010) no. 3, pp. 330-336

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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.
Mots-clés : isomonodromic deformation, monodromy matrix
Keywords: linear differential equation, confluence of singular points, Poincaré rank, gauge transformation, Fuchsian system. 
@article{MZM_2010_87_3_a1,
     author = {Yu. P. Bibilo},
     title = {Isomonodromic {Confluence} of {Singular} {Points}},
     journal = {Matemati\v{c}eskie zametki},
     pages = {330--336},
     publisher = {mathdoc},
     volume = {87},
     number = {3},
     year = {2010},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MZM_2010_87_3_a1/}
}
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Yu. P. Bibilo. Isomonodromic Confluence of Singular Points. Matematičeskie zametki, Tome 87 (2010) no. 3, pp. 330-336. http://geodesic.mathdoc.fr/item/MZM_2010_87_3_a1/