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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
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
Citation:
I. V. Vyugin, “Fuchsian Systems with Completely Reducible Monodromy”, Mat. Zametki, 85:6 (2009), 817–825; Math. Notes, 85:6 (2009), 780–786
Linking options:
https://www.mathnet.ru/eng/mzm7660https://doi.org/10.4213/mzm7660 https://www.mathnet.ru/eng/mzm/v85/i6/p817
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Abstract page: | 477 | Full-text PDF : | 203 | References: | 47 | First page: | 10 |
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