Fuchsian systems with completely reducible monodromy

被引：4

作者：

V'yugin, I. V. ^{[1
]}

机构：

[1] Moscow MV Lomonosov State Univ, Moscow, Russia

来源：

MATHEMATICAL NOTES | 2009年 / 85卷 / 5-6期

基金：

俄罗斯基础研究基金会;

关键词：

Riemann-Hilbert problem; decomposable Fuchsian system; completely reducible monodromy; (semi) stable bundle with connection; holomorphic (meromorphic) function;

D O I：

10.1134/S0001434609050204

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

The solvability of the Riemann-Hilbert problem for representations chi = chi (1) aS center dot chi (2) having the form of a direct sum is considered. It is proved that any representation chi (1) can be realized as a direct summand in the monodromy representation chi of a Fuchsian system. Other results are also obtained, which suggest a simple method for constructing counterexamples to the Riemann-Hilbert problem.

引用

页码：780 / 786

页数：7

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