Transformations of Hypergeometric Motives

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.

References in corpus (2)

• Hodge theory of Kloosterman connections
• The $p$-adic Gelfand-Kapranov-Zelevinsky hypergeometric complex

Cited by in corpus (2)

• Supercongruences for rigid hypergeometric Calabi--Yau threefolds
• A Whipple ${}_7{F}_6$ formula revisited