2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/137162We show that the implicit equation of a surface in 3-dimensional projective space parametrized by bi-homogeneous polynomials of bi-degree (d,d), for a given positive integer d, can be represented and computed from the linear syzygies of its parametrization if the base points are isolated and form locally a complete intersection.Algebraic GeometrySymbolic ComputationCommutative Algebratext