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arXiv · 2408.14271

Picard-Fuchs system for family of Kummer surfaces as subsystem of GKZ hypergeometric system

Atsuhira Nagano
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Abstract

We determine a simple expression of the Picard-Fuchs system for a family of Kummer surfaces for all principally polarized Abelian surfaces. It is given by a system of linear partial differential equations in three variables of rank five. Our results are based on a Jacobian elliptic fibration on Kummer surfaces and a GKZ hypergeometric system suited to the elliptic fibration.

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Atsuhira Nagano. 2024-08-26. Picard-Fuchs system for family of Kummer surfaces as subsystem of GKZ hypergeometric system. https://arxiv.org/abs/2408.14271

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