Integrable systems related to elliptic branched coverings

Details Integrable systems related to elliptic branched coverings Integrable systems related to elliptic branched coverings

2004-02-06

arxiv.org/abs/math-ph/0402014v1

Journal of Physics A: Mathematical and General, 36 (42) 2003 10585 - 10605

Physics

Mathematical Physics

26 pages

Scientific paper

The new integrable systems associated to the space of elliptic branched
coverings are constructed. The relationship of these systems with elliptic
Schlesinger's system is described. For the standard two-fold elliptic coverings
the integrable system is written explicitly. A trigonometric degeneration of
the construction is presented.

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