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most citedSome explicit solutions to the Riemann-Hilbert problem

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math.AG2005

Higher genus icosahedral Painleve curves

Philip Boalch

We will write down the higher genus algebraic curves supporting icosahedral solutions of the sixth Painleve equation, including the largest (genus seven) curve.

math.AG2005★ 15 cited

Six results on Painleve VI

Philip Boalch

After 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 summ…