Duality for hypergeometric period matrices (Q1917574)

The authors present without proof a duality relation for the period matrices associated with generalized hypergeometric functions (in integral form) on \(GL_{k+1} (\mathbb{C}) \backslash M(k+1, n+2) (\mathbb{C}^*)^{n+2}\). The proof requires an expression for the invariant Gauss-Manin systems that the period matrices satisfy, the appropriate twisted Riemann period relation, and formulas for exterior products of period matrices. Details will appear elsewhere.