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Integrable systems related to elliptic branched coverings
The new integrable systems associated with the space of elliptic branched coverings are constructed. The relationship of these systems with the elliptic Schlesinger's system (Takasaki 1998 Lett. Math. Phys. 44 143–56) is described. For the standard two-fold elliptic coverings the integrable system is written explicitly. The trigonometric degeneration of our …