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This article is cited in 1 scientific paper (total in 1 paper) The One-Dimensional Riemann Problem on an Elliptic Curve A. A. Matveevaa, V. A. Poberezhnyiab† a National Research University "Higher School of Economics" (HSE), Moscow b State Scientific Center of the Russian Federation - Institute for Theoretical and Experimental Physics, Moscow Abstract: A one-dimensional generalization of the Riemann–Hilbert problem from the Riemann sphere to an elliptic curve is considered. A criterion for its positive solvability is obtained and the explicit form of all possible solutions is found. As in the spherical case, the solutions turn out to be isomonodromic. Keywords: Riemann problem, elliptic curve, logarithmic connection.
† Author to whom correspondence should be addressed DOI: https://doi.org/10.4213/mzm11107   Full text:
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English version: Mathematical Notes, 2017, 101:1, Bibliographic databases:    
UDC: 517.925.7 PACS: 02.30.Zz Received: 26.06.2016 Revised: 09.08.2016 Citation: A. A. Matveeva, V. A. Poberezhnyi, “The One-Dimensional Riemann Problem on an Elliptic Curve”, Mat. Zametki, 101:1 (2017), 
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