Geodesic
Riemann--Hilbert problem for scalar Fuchsian equations and related problems
Trudy Matematicheskogo Instituta imeni V.A. Steklova, Tome 66 (2011) no. 1, pp. 35-62

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This paper is devoted to the Riemann–Hilbert problem for scalar Fuchsian equations: the problem of constructing a scalar Fuchsian equation from a representation of the monodromy and a family of singular points. The results of Bolibrukh [5], van der Put and Singer [7], and the author [10], generalized to a unified theorem provided with a new proof, form the main part of the paper. Some possible applications of these results are also discussed. Bibliography: 16 titles.
Keywords: Fuchsian equations and systems, Riemann–Hilbert problem, bundle, connection.
Mots-clés : monodromy 
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     title = {Riemann--Hilbert problem for scalar {Fuchsian} equations and related problems},
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I. V. Vyugin. Riemann--Hilbert problem for scalar Fuchsian equations and related problems. Trudy Matematicheskogo Instituta imeni V.A. Steklova, Tome 66 (2011) no. 1, pp. 35-62. http://geodesic.mathdoc.fr/item/RM_2011_66_1_a1/