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International conference "8th Russian-Armenian Workshop on Mathematical Physics, Complex Analysis and Related Topics"
September 20, 2019 14:45–15:25, Секция «Математическая физика»
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Системы Хитчина с точки зрения метода разделения переменных
O. K. Sheinman
, Moscow
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References
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N. Hitchin, “Stable bundles and integrable systems”, Duke Math. J., 54:1 (1987), 91–112
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B. van Geemen and E. Previato, “On the Hitchin system”, Duke Math. J., 85:3 (1996), 659–683, arXiv: alg-geom/9410015
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K. Gawedzki, P. Tran-Ngoc-Bich, “Hitchin systems at low genera”, J. Math. Phys, 41 (2000), arXiv: hep-th/9803101
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I. Krichever, “Vector Bundles and Lax Equations on Algebraic Curves”, Commun. Math. Phys., 229 (2002), 229–269
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O.K. Sheinman, Spectral curves of the hyperelliptic Hitchin systems, arXiv: 1806.10178 [math-ph] (submitted to Func. Analysis and Appl.)
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P.I. Borisova, O.K. Sheinman, “Hitchin systems on hyperelliptic curves”, Proceedings of the Steklov Mathematical Institute (to appear)
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P.I. Borisova, “Separation of variables for the type $D_l$ Hitchin systems on a hyperelliptic curve”, Russ. Math. Surv. (to appear)
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