Implicitization of surfaces in P^3 in the presence of base points

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dc.creatorBuse, Laurent
dc.creatorCox, David
dc.creatorD'Andrea, Carlos
dc.date2002-05-23
dc.date2003-04-29
dc.date.accessioned2026-07-07T04:48:40Z
dc.date.available2026-07-07T04:48:40Z
dc.descriptionWe show that the method of moving quadrics for implicitizing surfaces in P^3 applies in certain cases where base points are present. However, if the ideal defined by the parametrization is saturated, then this method rarely applies. Instead, we show that when the base points are a local complete intersection, the implicit equation can be computed as the resultant of the first syzygies.
dc.description27 pages. Revised version. Accepted for publication in the Journal of Algebra and its Applications
dc.identifierhttps://arxiv.org/abs/math/0205251
dc.identifierhttp://arxiv.org/abs/math/0205251
dc.identifierJ. Algebra Appl. 2 (2003), no. 2, 189--214.
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/64139
dc.subjectAlgebraic Geometry
dc.subjectCommutative Algebra
dc.subject14Q10 (Primary) 13D02, 65D17 (Secondary)
dc.titleImplicitization of surfaces in P^3 in the presence of base points
dc.typetext

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