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Convolution of Picard-Fuchs equations (1604.01449v2)
Published 5 Apr 2016 in math.AG, math-ph, math.CA, math.CV, and math.MP
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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