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Rational Solutions of the Schlesinger System and Isoprincipal Deformations of Rational Matrix Functions I

V. Katsnelson·D. Volok
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Abstract

In the present paper we discuss the general facts, concerning the Schlesinger system: the (τ)-function, the local factorization of solutions of Fuchsian equations and holomorphic deformations. We introduce the terminology "isoprincipal" for the deformations of Fuchsian equations with general (not necessarily non-resonant) matrix coefficients, corresponding to solutions of the Schlesinger system.

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BibTeXRIS

V. Katsnelson, D. Volok. 2004-07-01. Rational Solutions of the Schlesinger System and Isoprincipal Deformations of Rational Matrix Functions I. https://arxiv.org/abs/math/0304108

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