Irregular Isomonodromic Deformations for Garnier Systems and Okamoto's Canonical Transformations |
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| Authors: | Mazzocco Marta |
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| Affiliation: | Department of Pure Mathematics and Mathematical Statistics, University of Cambridge Cambridge CB3 0WB, United Kingdom |
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| Abstract: | The paper describes the Garnier systems as isomonodromic deformationequations of a linear system with a simple pole at 0 and a Poincarérank 1 singularity at infinity. The extension of Okamoto's birationalcanonical transformations to the Garnier systems in more thanone variable and to the Schlesinger systems is discussed. |
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