An estimate of the number of apparent singularities in the Riemann-Hilbert problem on a compact Riemann surface

Details An estimate of the number of apparent singularities in the Riemann-Hilbert problem on a compact Riemann surface An estimate of the number of apparent singularities in the Riemann-Hilbert problem on a compact Riemann surface

2010-02-16

arxiv.org/abs/1002.3013v2

Mathematical Notes, 2011, 90:1, 3-9

Mathematics

Classical Analysis and ODEs

8 pages. Several typos are corrected

Scientific paper

In the paper we give an upper estimate of the number of apparent
singularities that are sufficient for construction of a system of linear
differential equations on a Riemann surface with given fuchsian singularities
and monodromy.

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