Implicitizing rational hypersurfaces using approximation complexes

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dc.creatorBuse, Laurent
dc.creatorChardin, Marc
dc.date2003-01-21
dc.date.accessioned2026-07-07T04:54:36Z
dc.date.available2026-07-07T04:54:36Z
dc.descriptionIn 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.
dc.description20 pages
dc.identifierhttps://arxiv.org/abs/math/0301238
dc.identifierhttp://arxiv.org/abs/math/0301238
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/66316
dc.subjectAlgebraic Geometry
dc.subjectCommutative Algebra
dc.subject14Qxx; 13D02
dc.titleImplicitizing rational hypersurfaces using approximation complexes
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