Reducing the number of variables of a polynomial

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dc.creatorCarlini, Enrico
dc.date2005-07-26
dc.date.accessioned2026-07-07T05:22:00Z
dc.date.available2026-07-07T05:22:00Z
dc.descriptionIn this paper, we consider two basic questions about presenting a homogeneous polynomial f: how many variables are needed for presenting f? How can one find a presentation of f involving as few variables as possible? We give a complete answer to both questions, determining the minimal number of variables needed, NEssVar(f), and describing these variables through their linear span, EssVar(f). Our results give rise to effective algorithms which we implemented in the computer algebra system CoCoA.
dc.identifierhttps://arxiv.org/abs/math/0507531
dc.identifierhttp://arxiv.org/abs/math/0507531
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/75898
dc.subjectCommutative Algebra
dc.subjectAlgebraic Geometry
dc.subject14Q20
dc.titleReducing the number of variables of a polynomial
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