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arXiv · 2003.05031

Transformations of Hypergeometric Motives

J. William Hoffman·Fang-Ting Tu
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Abstract

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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J. William Hoffman, Fang-Ting Tu. 2020-06-02. Transformations of Hypergeometric Motives. https://arxiv.org/abs/2003.05031

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