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Системы Хитчина с точки зрения метода разделения переменных

O. K. Sheinman

, Moscow




References
  1. N. Hitchin, “Stable bundles and integrable systems”, Duke Math. J., 54:1 (1987), 91–112
  2. B. van Geemen and E. Previato, “On the Hitchin system”, Duke Math. J., 85:3 (1996), 659–683, arXiv: alg-geom/9410015
  3. K. Gawedzki, P. Tran-Ngoc-Bich, “Hitchin systems at low genera”, J. Math. Phys, 41 (2000), arXiv: hep-th/9803101
  4. I. Krichever, “Vector Bundles and Lax Equations on Algebraic Curves”, Commun. Math. Phys., 229 (2002), 229–269
  5. O.K. Sheinman, Spectral curves of the hyperelliptic Hitchin systems, arXiv: 1806.10178 [math-ph] (submitted to Func. Analysis and Appl.)
  6. P.I. Borisova, O.K. Sheinman, “Hitchin systems on hyperelliptic curves”, Proceedings of the Steklov Mathematical Institute (to appear)
  7. P.I. Borisova, “Separation of variables for the type $D_l$ Hitchin systems on a hyperelliptic curve”, Russ. Math. Surv. (to appear)


© Steklov Math. Inst. of RAS, 2026