作为 GKZ 次几何系统子系统的库默曲面族皮卡-福克斯系统

arXiv - MATH - Complex Variables Pub Date : 2024-08-26 DOI:arxiv-2408.14271

Atsuhira Nagano

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引用次数: 0

摘要

我们确定了库默曲面族的皮卡-富克斯系统对于所有主要极化阿贝尔曲面的简单表达式。它是由一个五级三变量线性偏微分方程系统给出的。我们的结果基于库默曲面上的雅各布椭圆纤度和适合椭圆纤度的 GKZ 超几何系统。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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

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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arXiv - MATH - Complex Variables

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