Schlesinger system, Einstein equations and hyperelliptic curves

Astronomy and Astrophysics – Astrophysics – General Relativity and Quantum Cosmology

Scientific paper

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dedicated to the memory of Moshe Flato

Scientific paper

We review recent developments in the method of algebro-geometric integration
of integrable systems related to deformations of algebraic curves. In
particular, we discuss the theta-functional solutions of Schlesinger system,
Ernst equation and self-dual SU(2)-invariant Einstein equations.

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