Picard-Fuchs equations of the generalized Dwork family

Fuente: arXiv
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Main Author: Negishi, Ryo
Format: Preprint
Published: 2022
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author Negishi, Ryo
author_facet Negishi, Ryo
contents 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.
format Preprint
id arxiv_https___arxiv_org_abs_2208_01531
institution arXiv
publishDate 2022
record_format arxiv
spellingShingle Picard-Fuchs equations of the generalized Dwork family
Negishi, Ryo
Algebraic Geometry
14D05, 14F30, 14F40
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.
title Picard-Fuchs equations of the generalized Dwork family
topic Algebraic Geometry
14D05, 14F30, 14F40
url https://arxiv.org/abs/2208.01531