Picard-Fuchs equations of the generalized Dwork family
Algebraic Geometry
2024-03-12 v2
Abstract
We determine the Picard-Fuchs equations of the generalized Dwork families by Katz. As an application, we compute the Frobenius matrix on the rigid cohomology of the family. This was originally done by Kloosterman, while we give an alternative computation with use of the Picard-Fuchs equations.
Keywords
Cite
@article{arxiv.2208.01531,
title = {Picard-Fuchs equations of the generalized Dwork family},
author = {Ryo Negishi},
journal= {arXiv preprint arXiv:2208.01531},
year = {2024}
}