This article is cited in 3 papers

On Movable Singularities of Garnier Systems

R. R. Gontsov

A. A. Kharkevich Institute for Information Transmission Problems, Russian Academy of Sciences

Abstract: 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.

Keywords: Garnier system, movable singularity, Fuchsian system, Schlesinger isomonodromic deformation, Lauricella hypergeometric equation, Painlevé equation, meromorphic function, Malgrange $\Theta$-divisor.

UDC: 517.91

Received: 09.12.2009

DOI: 10.4213/mzm8915

 English version: Mathematical Notes, 2010, 88:6, 806–818

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