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2021 Convolution of Picard–Fuchs Equations
Hossein Movasati, Stefan Reiter
Michigan Math. J. Advance Publication 1-20 (2021). DOI: 10.1307/mmj/20205851

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.

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Hossein Movasati. Stefan Reiter. "Convolution of Picard–Fuchs Equations." Michigan Math. J. Advance Publication 1 - 20, 2021. https://doi.org/10.1307/mmj/20205851

Information

Received: 7 January 2020; Revised: 14 April 2021; Published: 2021
First available in Project Euclid: 10 August 2021

Digital Object Identifier: 10.1307/mmj/20205851

Subjects:
Primary: 14B10, 14D05

Rights: Copyright © 2021 The University of Michigan

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