The one-dimensional Riemann problem on an elliptic curve


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Resumo

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.

Sobre autores

A. Matveeva

National Research University Higher School of Economics

Autor responsável pela correspondência
Email: mtvnastya@gmail.com
Rússia, Moscow

V. Poberezhnyi

National Research University Higher School of Economics; Alikhanov Institute for Theoretical and Experimental Physics

Email: mtvnastya@gmail.com
Rússia, Moscow; Moscow

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