Geodesic
Variational formulas of~the~monodromy group for~a~third-order equation on~a~compact Riemann surface
Žurnal Sibirskogo federalʹnogo universiteta. Matematika i fizika, Tome 15 (2022) no. 3, pp. 308-318

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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 $g \geq 2$ in the spaces of quadratic and cubic holomorphic differentials.
Keywords: Riemann surface, third-order equation on a Riemann surface, holomorphic differential.
Mots-clés : variational formula 
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     title = {Variational formulas of~the~monodromy group for~a~third-order equation on~a~compact {Riemann} surface},
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Alexander V. Chueshev; Victor V. Chueshev. Variational formulas of~the~monodromy group for~a~third-order equation on~a~compact Riemann surface. Žurnal Sibirskogo federalʹnogo universiteta. Matematika i fizika, Tome 15 (2022) no. 3, pp. 308-318. http://geodesic.mathdoc.fr/item/JSFU_2022_15_3_a4/