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arXiv · 1604.01449

Convolution of Picard-Fuchs equations

Hossein Movasati·Stefan Reiter
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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 parameterized 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.

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Hossein Movasati, Stefan Reiter. 2016-04-05. Convolution of Picard-Fuchs equations. https://arxiv.org/abs/1604.01449

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