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.

引用

页码：478 / 484

页数：7

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