2001/03/18 by D. Korotkin, Korotkin, D.
Mathematics · Physics and Astronomy · #32G81 #FOS: Physical sciences #Mathematical Physics (math-ph) #math-ph #math.MP #msc:32G81
paper · pdf · doi:10.48550/arxiv.math-ph/0103023
To appear in "Isomonodromy deformations and applications", ed. by J.Harnad and A.Its, CRM proceedings, AMS (2001)
arxiv created 2001/03/18 · arxiv updated 2009/11/30
A class of Riemann-Hilbert problems corresponding to quasi-permutation monodromy matrices is solved in terms of Szegö kernel on auxiliary Riemann surfaces. The tau-function of Schlesinger system turns out to be closely related to determinant of Cauchy-Riemann operator. The link between theta-divisor and Malgrange's divisor in the theory of Schlesinger equations is established.