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

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dc.creatorBuse, Laurent
dc.creatorGalligo, Andre
dc.date2003-01-09
dc.date.accessioned2026-07-07T04:54:21Z
dc.date.available2026-07-07T04:54:21Z
dc.descriptionGiven 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.
dc.description21 pages, 2 figures
dc.identifierhttps://arxiv.org/abs/math/0301088
dc.identifierhttp://arxiv.org/abs/math/0301088
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/66216
dc.subjectAlgebraic Geometry
dc.subjectCommutative Algebra
dc.subject14Qxx; 13D02
dc.titleA resultant approach to detect intersecting curves in $\PP^3$
dc.typetext

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