Picard-Fuchs equations of the generalized Dwork family

2022/08/02 by Ryo Negishi, Negishi, Ryo
Computer Science · #14D05 #14F30 #14F40 #Advanced Mathematical Modeling in Engineering #Algebraic Geometry (math.AG) #FOS: Mathematics

paper · pdf · doi:10.48550/arxiv.2208.01531

openalex publication_date 2022/08/02 · openalex created_date 2022/08/04 · openalex updated_date 2026/07/28

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.

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