Geodesic
The One-Dimensional Riemann Problem on an Elliptic Curve
Matematičeskie zametki, Tome 101 (2017) no. 1, pp. 91-100

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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. 
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     author = {A. A. Matveeva and V. A. Poberezhnyi},
     title = {The {One-Dimensional} {Riemann} {Problem} on an {Elliptic} {Curve}},
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A. A. Matveeva; V. A. Poberezhnyi. The One-Dimensional Riemann Problem on an Elliptic Curve. Matematičeskie zametki, Tome 101 (2017) no. 1, pp. 91-100. http://geodesic.mathdoc.fr/item/MZM_2017_101_1_a7/