The one-dimensional Riemann problem on an elliptic curve |
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| Authors: | A A Matveeva V A Poberezhnyi |
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| Institution: | 1.National Research University Higher School of Economics,Moscow,Russia;2.Alikhanov Institute for Theoretical and Experimental Physics,Moscow,Russia |
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| 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. |
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