Geodesic
On Movable Singularities of Garnier Systems
Matematičeskie zametki, Tome 88 (2010) no. 6, pp. 845-858

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We study movable singularities of Garnier systems by using an approach based on the relationship between these systems and Schlesinger isomonodromic deformations of Fuchsian systems, as well as Lauricella hypergeometric equations.
Mots-clés : Garnier system
Keywords: movable singularity, Fuchsian system, Schlesinger isomonodromic deformation, Lauricella hypergeometric equation, Painlevé equation, meromorphic function, Malgrange $\Theta$-divisor. 
@article{MZM_2010_88_6_a4,
     author = {R. R. Gontsov},
     title = {On {Movable} {Singularities} of {Garnier} {Systems}},
     journal = {Matemati\v{c}eskie zametki},
     pages = {845--858},
     publisher = {mathdoc},
     volume = {88},
     number = {6},
     year = {2010},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MZM_2010_88_6_a4/}
}
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R. R. Gontsov. On Movable Singularities of Garnier Systems. Matematičeskie zametki, Tome 88 (2010) no. 6, pp. 845-858. http://geodesic.mathdoc.fr/item/MZM_2010_88_6_a4/