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Article

The one-dimensional Riemann problem on an elliptic curve

Mathematical notes. 2017. Vol. 101. No. 1. P. 115-122.
Matveeva A., Poberezhny V. A.

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.