Journal of Siberian Federal University. Mathematics & Physics / Variational Formulas of the Monodromy Group for a Third-Order Equation on a Compact Riemann Surface

Full text (.pdf)
Issue
Journal of Siberian Federal University. Mathematics & Physics. 2022 15 (3)
Authors
Chueshev, Alexander V.; Chueshev, Victor V.
Contact information
Chueshev, Alexander V.: Kemerovo State University Kemerovo, Russian Federation; OCRID: 0000-0002-7185-7736; Chueshev, Victor V.: Kemerovo State University Kemerovo, Russian Federation
Keywords
Riemann surface; third-order equation on a Riemann surface; variational formula; holomorphic differential
Abstract

In the present article, we deduce explicit variational formulas for a solution vector and the elements of its monodromy group for a third-order ordinary differential equation on a compact Riemann surface of genus g > 2 in the spaces of quadratic and cubic holomorphic differentials

Pages
308–318
DOI
10.17516/1997-1397-2022-15-3-308-318
Paper at repository of SibFU
https://elib.sfu-kras.ru/handle/2311/145505