Abstract
We determine explicit generators for a cohomology group constructed from a solution of a Fuchsian linear differential equation and describe its relation with cohomology groups with coefficients in a local system. In the parametrized case, this yields into an algorithm which computes new Fuchsian differential equations from those depending on multi-parameters. This generalizes the classical convolution of solutions of Fuchsian differential equations.
Citation
Hossein Movasati. Stefan Reiter. "Convolution of Picard–Fuchs Equations." Michigan Math. J. 71 (4) 705 - 724, November 2022. https://doi.org/10.1307/mmj/20205851
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