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Irregular isomonodromic deformations for Garnier systems and Okamoto's canonical transformations | M. Mazzocco
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12 Jun 2003 | Subject: | Exactly Solvable and Integrable Systems; Complex Variables MSC-class: 32G34 (Primary); 34M55, 35R99, 53D45 (Secondary) | nlin.SI math.CV | Affiliation: | Cambridge University | Abstract: | In this paper we describe the Garnier systems as isomonodromic deformation equations of a linear system with a simple pole at zero and a Poincaré rank two singularity at infinity. We discuss the extension of Okamoto’s birational canonical transformations to the Garnier systems in more than one variable and to the Schlesinger systems. | Source: | arXiv, nlin.SI/0306020 | Services: | Forum | Review | PDF | Favorites |
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