论文标题

普遍DWork家族的Picard-Fuchs方程

Picard-Fuchs equations of the generalized Dwork family

论文作者

Negishi, Ryo

论文摘要

我们确定了Katz的广义DWORK家族的Picard-Fuchs方程。作为应用程序,我们计算了Frobenius矩阵的家庭刚性共同体。这最初是由Kloosterman完成的,而我们使用Picard-Fuchs方程进行了替代计算。

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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