Email this article The one-dimensional Riemann problem on an elliptic curve
- Authors: Matveeva A.A.1, Poberezhnyi V.A.1,2
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Affiliations:
- National Research University Higher School of Economics
- Alikhanov Institute for Theoretical and Experimental Physics
- Issue: Vol 101, No 1-2 (2017)
- Pages: 115-122
- Section: 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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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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About the authors
A. A. Matveeva
National Research University Higher School of Economics
Author for correspondence.
Email: mtvnastya@gmail.com
Russian Federation, Moscow
V. A. Poberezhnyi
National Research University Higher School of Economics; Alikhanov Institute for Theoretical and Experimental Physics
Email: mtvnastya@gmail.com
Russian Federation, Moscow; Moscow
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