Schlesinger system, Einstein equations and hyperelliptic curves
arXiv:gr-qc/9911003
Abstract
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.
dedicated to the memory of Moshe Flato