The one-dimensional Riemann problem on an elliptic curve
- 作者: Matveeva A.A.1, Poberezhnyi V.A.1,2
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隶属关系:
- National Research University Higher School of Economics
- Alikhanov Institute for Theoretical and Experimental Physics
- 期: 卷 101, 编号 1-2 (2017)
- 页面: 115-122
- 栏目: Volume 101, Number 1, January, 2017
- URL: https://journals.rcsi.science/0001-4346/article/view/149948
- DOI: https://doi.org/10.1134/S0001434617010114
- ID: 149948
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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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