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math.CA2007★ 1 cited
Towards a nonlinear Schwarz's list
Philip Boalch
This is basically the text of a survey talk (entitled 'Painleve, Klein and the icosahedron') given at Hitchin's 60th birthday conference. It discusses the search for and constructi…
math.AG2007★ 19 cited
Quivers and difference Painleve equations
Philip Boalch
We will describe natural `Lax pairs' for the difference Painleve equations with affine Weyl symmetry groups of types E6, E7 and E8, showing that they do indeed arise as symmetries…