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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…
math.DG2005★ 26 cited
Some explicit solutions to the Riemann-Hilbert problem
Philip Boalch
Explicit solutions to the Riemann-Hilbert problem will be found realising some irreducible non-rigid local systems. The relation to isomonodromy and the sixth Painleve equation wil…