Constructive Solvability Conditions for the Riemann-Hilbert Problem

被引：0
作者：
I. V. V’yugin
机构：
[1] M. V. Lomonosov Moscow State University,
来源：
Mathematical Notes | 2005年 / 77卷
关键词：
Riemann-Hilbert problem; Fuchsian system; monodromy representation; bundle valuation; stable pair of a bundle and a logarithmic connection; semistable pair of a bundle and a logarithmic connection;
D O I：
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学科分类号：
摘要：
Sufficient and necessary conditions for the solvability of the Riemann-Hilbert problem are studied. These conditions consist in the possibility of constructing stable and semistable pairs (of bundles and connections) for a given monodromy. The obtained results make it possible to develop algorithms for testing the solvability conditions for the Riemann-Hilbert problem.
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页码：595 / 605
页数：10
相关论文
共 4 条
  • [1] Kostov V. P.(1992)Fuchsian systems on ℂ C. R. Acad. Sci. Paris Ser. I 315 143-148
  • [2] Bolibrukh A. A.(2002) and the Riemann-Hilbert Problem Trudy Mat. Inst. Steklov 238 55-69
  • [3] Gladyshev A. I.(2000)The Riemann-Hilbert problem on a compact Riemann surface J. Dynamical Control Systems 6 219-264
  • [4] Malek S.(2001)On the Riemann-Hilbert problem in dimension 4 C. R. Acad. Sci. Paris Ser. I 332 691-694
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