Schlesinger system, Einstein equations and hyperelliptic curves

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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.
dedicated to the memory of Moshe Flato

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General Relativity and Quantum Cosmology

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http://salesiana.dossiersoluciones.com/handle/123456789/36665

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/gr-qc/9911003
 http://arxiv.org/abs/gr-qc/9911003
 Lett.Math.Phys. 49 (1999) 145-159

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arXiv