Frobenius structures on hypergeometric equations

Abstract

We give an exposition of Dwork’s construction of Frobenius structures associated to generalized hypergeometric equations via the interpretation of the latter due to Gelfand–Kapranov–Zelevinsky in the language of A A -hypergeometric systems. As a consequence, we extract some explicit formulas for the degeneration at 0 0 in terms of the Morita p p -adic gamma function.