2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/66316In this paper we describe an algorithm for implicitizing rational hypersurfaces in case there exists at most a finite number of base points. It is based on a technique exposed in math.AG/0210096, where implicit equations are obtained as determinants of certain graded parts of a so-called approximation complex. We detail and improve this method by providing an in-depth study of the cohomology of such a complex. In both particular cases of interest of curve and surface implicitization we also yield explicit algorithms which only involves linear algebra routines.20 pagesAlgebraic GeometryCommutative Algebra14Qxx; 13D02text