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2006.319: Irregular isomonodromic for Garnier systems and Okamoto's canonical transformations

2006.319: Marta Mazzocco (2004) Irregular isomonodromic for Garnier systems and Okamoto's canonical transformations. Journal of the London Mathematical Society, 70 (2). pp. 405-419. ISSN 0024-6107

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DOI: 10.1112/S0024610704005678


The paper describes the Garnier systems as isomonodromic deformation equations of a linear system with a simple pole at 0 and a Poincaré rank 1 singularity at infinity. The extension of Okamoto's birational canonical transformations to the Garnier systems in more than one variable and to the Schlesinger systems is discussed.

Item Type:Article
Subjects:MSC 2000 > 32 Several complex variables and analytic spaces
MSC 2000 > 34 Ordinary differential equations
MSC 2000 > 35 Partial differential equations
MSC 2000 > 53 Differential geometry
MIMS number:2006.319
Deposited By:Miss Louise Stait
Deposited On:16 August 2006

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