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math-ph2004
Integrable systems related to elliptic branched coverings
V. Shramchenko
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…
math-ph2004
Ernst equation, Fay identities and variational formulas on hyperelliptic curves
C. Klein, D. Korotkin, V. Shramchenko
We present a unified approach to theta-functional solutions of the stationary axisymmetric Einstein equations in vacuum. Using Fay's trisecant identity and variational formulas on…