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Matematicheskie Zametki, 2011, Volume 90, Issue 1, Pages 3–10
DOI: https://doi.org/10.4213/mzm8726 (Mi mzm8726) 		 
This article is cited in 1 scientific paper (total in 1 paper)

The Number of Additional Singular Points in the Riemann–Hilbert Problem on a Riemann Surface

D. V. Artamonov

M. V. Lomonosov Moscow State University
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DOI: https://doi.org/10.4213/mzm8726
Abstract: We present an upper bound for the number of additional singular points that are sufficient to construct a system of linear equations with given regular singular points and a given monodromy on a Riemann surface.
Keywords: Riemann surface, Riemann–Hilbert problem, monodromy, regular singular point, apparent singular points, fundamental group.
Received: 26.03.2010
Revised: 02.08.2010
English version:
Mathematical Notes, 2011, Volume 90, Issue 1, Pages 3–9
DOI: https://doi.org/10.1134/S0001434611070017
Bibliographic databases:
Document Type: Article
UDC: 517.91
Language: Russian
Citation: D. V. Artamonov, “The Number of Additional Singular Points in the Riemann–Hilbert Problem on a Riemann Surface”, Mat. Zametki, 90:1 (2011), 3–10; Math. Notes, 90:1 (2011), 3–9
Citation in format AMSBIB
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    • This publication is cited in the following 1 articles:
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