Convolution of Picard-Fuchs equations
Algebraic Geometry
2021-09-17 v2 Mathematical Physics
Classical Analysis and ODEs
Complex Variables
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.
Cite
@article{arxiv.1604.01449,
title = {Convolution of Picard-Fuchs equations},
author = {Hossein Movasati and Stefan Reiter},
journal= {arXiv preprint arXiv:1604.01449},
year = {2021}
}
Comments
17 pages