2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/218975Given a parametrization of a rational plane algebraic curve C, some explicit adjoint pencils on C are described in terms of determinants. Moreover, some generators of the Rees algebra associated to this parametrization are presented. The main ingredient developed in this paper is a detailed study of the elimination ideal of two homogeneous polynomials in two homogeneous variables that form a regular sequence.Journal of Algebra (2009)Algebraic GeometrySymbolic ComputationCommutative AlgebraOn the equations of the moving curve ideal of a rational algebraic plane curvetext