Geodesic
The Number of Additional Singular Points in the Riemann--Hilbert Problem on a Riemann Surface
Matematičeskie zametki, Tome 90 (2011) no. 1, pp. 3-10.

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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, regular singular point, apparent singular points, fundamental group.
Mots-clés : monodromy 
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D. V. Artamonov. The Number of Additional Singular Points in the Riemann--Hilbert Problem on a Riemann Surface. Matematičeskie zametki, Tome 90 (2011) no. 1, pp. 3-10. http://geodesic.mathdoc.fr/item/MZM_2011_90_1_a0/

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