2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/117774We study generalized Horn-Kapranov rational parametrizations of inhomogeneous sparse discriminants from both a theoretical and an algorithmic perspective. We show that all these parametrizations are birational and prove some results on the corresponding implicit equations. We also propose a combinatorial algorithm to compute the degree of inhomogeneous discriminantal surfaces associated to uniform matrices.20 pages, 2 figuresAlgebraic GeometryCommutative Algebratext