A resultant approach to detect intersecting curves in $\PP^3$

2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/66216Given two curves in $\PP^3$, either implicitly or by a parameterization, we want to check if they intersect. For that purpose, we present and further develop generalized resultant techniques. Our aim is to provide a closed formula in the inputs which vanishes if and only if the two curves intersect. This could be useful in Computer Aided Design, for computing the intersection of algebraic surfaces.21 pages, 2 figuresAlgebraic GeometryCommutative Algebra14Qxx; 13D02A resultant approach to detect intersecting curves in $\PP^3$text