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29 March 2024
 
  » arxiv » math.AG/0503043

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Six results on Painleve VI
Philip Boalch ;
Date 2 Mar 2005
Subject Algebraic Geometry; Classical Analysis and ODEs; Exactly Solvable and Integrable Systems | math.AG math.CA nlin.SI
AbstractAfter recalling some of the geometry of the sixth Painleve equation, we will describe how the Okamoto symmetries arise naturally from symmetries of Schlesinger’s equations and summarise the classification of the Platonic Painleve six solutions. A key observation is that Painleve VI governs the isomonodromic deformations of certain Fuchsian systems on rank emph{three} bundles.
Source arXiv, math.AG/0503043
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