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
Mots-clés : monodromy
@article{MZM_2011_90_1_a0,
author = {D. V. Artamonov},
title = {The {Number} of {Additional} {Singular} {Points} in the {Riemann--Hilbert} {Problem} on a {Riemann} {Surface}},
journal = {Matemati\v{c}eskie zametki},
pages = {3--10},
publisher = {mathdoc},
volume = {90},
number = {1},
year = {2011},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/MZM_2011_90_1_a0/}
}
TY - JOUR AU - D. V. Artamonov TI - The Number of Additional Singular Points in the Riemann--Hilbert Problem on a Riemann Surface JO - Matematičeskie zametki PY - 2011 SP - 3 EP - 10 VL - 90 IS - 1 PB - mathdoc UR - http://geodesic.mathdoc.fr/item/MZM_2011_90_1_a0/ LA - ru ID - MZM_2011_90_1_a0 ER -
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/