The one-dimensional Riemann problem on an elliptic curve


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详细

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.

作者简介

A. Matveeva

National Research University Higher School of Economics

编辑信件的主要联系方式.
Email: mtvnastya@gmail.com
俄罗斯联邦, Moscow

V. Poberezhnyi

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

Email: mtvnastya@gmail.com
俄罗斯联邦, Moscow; Moscow

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