D. V. Artamonov, “The Number of Additional Singular Points in the Riemann–Hilbert Problem on a Riemann Surface”, Mat. Zametki, 2011, Volume 90, Issue 1,Pages <nobr>3

This article is cited in 1 paper

The Number of Additional Singular Points in the Riemann–Hilbert Problem on a Riemann Surface

D. V. Artamonov

M. V. Lomonosov Moscow State University

Abstract: 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, monodromy, regular singular point, apparent singular points, fundamental group.

UDC: 517.91

Received: 26.03.2010
Revised: 02.08.2010

DOI: 10.4213/mzm8726