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IRREGULAR ISOMONODROMIC DEFORMATIONS FOR GARNIER SYSTEMS AND OKAMOTO'S CANONICAL TRANSFORMATIONS

Published online by Cambridge University Press:  01 October 2004

MARTA MAZZOCCO
MARTA MAZZOCCO
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 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.

Keywords

32G34 (primary)34M5535R9953D45 (secondary)
Type
Notes and Papers
Information
Journal of the London Mathematical Society , Volume 70 , Issue 2 , October 2004 , pp. 405 - 419
Copyright
The London Mathematical Society 2004

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