Schlesinger system, Einstein equations and hyperelliptic curves
classification
🌀 gr-qc
keywords
curveseinsteinequationsschlesingersystemalgebraicalgebro-geometricdeformations
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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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