Some explicit solutions to the Riemann-Hilbert problem

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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 will be described. Keywords: Riemann-Hilbert problem, Painleve equations, algebraic solutions, Heun equations, tetrahedral/octahedral group, triangle groups, Belyi maps.
24 pages, 4 tables (more details, references updated)

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Differential Geometry, Mathematical Physics, Exactly Solvable and Integrable Systems

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http://salesiana.dossiersoluciones.com/handle/123456789/73979

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0501464
 http://arxiv.org/abs/math/0501464

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arXiv