Irreducible Fuchsian system with reducible monodromy representation

被引：3
|
作者：
V'yugin, I. V. [1 ]
机构：
[1] Moscow MV Lomonosov State Univ, Moscow, Russia
来源：
MATHEMATICAL NOTES | 2006年 / 80卷 / 3-4期
基金：
俄罗斯基础研究基金会;
关键词：
Fuchsian system; reducible monodromy; Riemann-Hilbert problem; monodromy representation; logarithmic connection; holomorphic bundle;
D O I：
10.1007/s11006-006-0165-9
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We present an example of the reducible representation chi = chi(1) circle plus chi(2), which, on the one hand, is the monodromy representation of a Fuchsian system. On the other hand, the representation chi(2) is a counterexample, to the Riemann-Hilbert problem. Using a meromorphic gauge transformation, one cannot reduce this system to the direct sum of Fuchsian systems corresponding to the subrepresentations.
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页码：478 / 484
页数：7
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