Integrable systems related to elliptic branched coverings
classification
🧮 math-ph
math.MP
keywords
ellipticcoveringsintegrablesystemsbranchedsystemassociatedconstructed
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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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