论文标题

超几何动机的转变

Transformations of Hypergeometric Motives

论文作者

Hoffman, J. William, Tu, Fang-Ting

论文摘要

我们从几何学角度考虑了超几型函数的代数转换。超几何功能显示出是由超几何动机的德勒姆实现引起的。动机的$ \ ell $ - adic实现产生了超小几幅字符,总和有限字段。这有助于统一并解释有关超小节特征总和转换的一些最新结果。

We consider algebraic transformations of hypergeometric functions from a geometric point of view. Hypergeometric functions are shown to arise from the deRham realization of a hypergeometric motive. The $\ell$-adic realization of the motive gives rise to hypergeometric characters sums over finite fields. This helps to unify and explain some recent results about transformations of hypergeometric character sums.

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