We investigate the GKZ \(A\)-hypergeometric \(\mathscr {D}\)-modules, introduced by Gel’fand, Kapranov, and Zelevinskii, arising from cyclic covers of toric varieties and find its Riemann–Hilbert partner. This extends our earlier results in Lee and Zhang (Internat. J. Math. 31(13), 2050113, 21 (2020). (MR4192455)).
