Some explicit solutions to the Riemann-Hilbert problem

Details Some explicit solutions to the Riemann-Hilbert problem Some explicit solutions to the Riemann-Hilbert problem

2005-01-26

arxiv.org/abs/math/0501464v2

Mathematics

Differential Geometry

24 pages, 4 tables (more details, references updated)

Scientific paper

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.

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