The one-dimensional Riemann problem on an elliptic curve

被引：0

作者：

A. A. Matveeva

V. A. Poberezhnyi

机构：

[1] National Research University Higher School of Economics,

[2] Alikhanov Institute for Theoretical and Experimental Physics,undefined

来源：

Mathematical Notes | 2017年 / 101卷

关键词：

Riemann problem; elliptic curve; logarithmic connection;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

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.

引用

页码：115 / 122

页数：7