%0 Journal Article %T An estimate of the number of apparent singularities in the Riemann-Hilbert problem on a compact Riemann surface %A D. V. Artamonov %J Mathematics %D 2010 %I arXiv %X 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. %U http://arxiv.org/abs/1002.3013v2