Some explicit solutions to the Riemann-Hilbert problem
微分几何
2007-05-23 v2 数学物理
math.MP
可精确求解与可积系统
摘要
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.
引用
@article{arxiv.math/0501464,
title = {Some explicit solutions to the Riemann-Hilbert problem},
author = {Philip Boalch},
journal= {arXiv preprint arXiv:math/0501464},
year = {2007}
}
备注
24 pages, 4 tables (more details, references updated)