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Matematicheskie Zametki, 2009, Volume 85, Issue 6, Pages 817–825
DOI: https://doi.org/10.4213/mzm7660 (Mi mzm7660) 		 
This article is cited in 4 scientific papers (total in 4 papers)

Fuchsian Systems with Completely Reducible Monodromy

I. V. Vyugin

M. V. Lomonosov Moscow State University, Faculty of Mechanics and Mathematics
Full-text PDF (423 kB) Citations (4)
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DOI: https://doi.org/10.4213/mzm7660
Abstract: The solvability of the Riemann–Hilbert problem for representations $\chi=\chi_1\oplus\chi_2$ 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.
Keywords: Riemann–Hilbert problem, decomposable Fuchsian system, completely reducible monodromy, (semi)stable bundle with connection, holomorphic (meromorphic) function.
Received: 20.06.2008
English version:
Mathematical Notes, 2009, Volume 85, Issue 6, Pages 780–786
DOI: https://doi.org/10.1134/S0001434609050204
Bibliographic databases:
UDC: 517
Language: Russian
Citation: I. V. Vyugin, “Fuchsian Systems with Completely Reducible Monodromy”, Mat. Zametki, 85:6 (2009), 817–825; Math. Notes, 85:6 (2009), 780–786
Citation in format AMSBIB
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    • This publication is cited in the following 4 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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