Integral Solutions to Schlesinger Equations

• Published in: Journal of mathematical sciences (New York, N.Y.) Vol. 208; no. 2; pp. 229 - 239
• Main Author: Leksin, V. P.
• Format: Journal Article
• Language: English
• Published: New York Springer US 02.07.2015; Springer
• Subjects: Mathematics; Mathematics and Statistics; Fundamental Matrix; Monodromy Matrix; Holomorphic Vector Bundle; Riemann Sphere; Vector Bundle

It is shown that Schlesinger equations for isomonodromic deformations of Fuchsian systems of order p on the Riemann spheres with upper triangular monodromy are reduced to multidimensional linear homogeneous ( p = 2) and inhomogeneous (≥ 3) Pfaffian systems. For components of the solutions to the mul...