On the structure of mu-classes

dc.creatorD'Andrea, Carlos
dc.date2002-04-15
dc.date2002-09-06
dc.date.accessioned2026-07-07T04:47:41Z
dc.date.available2026-07-07T04:47:41Z
dc.descriptionWe prove that, if μ<\lfloor n/2\rfloor, then every rational plane curve of degree n and class μis a limit of parametrizations of the same degree and class μ+1. This property was conjectured in D.Cox, T.Sederberg,F.Chen's paper: "The moving line ideal basis of planar rational curves" (Comput. Aided Geom. Des. 15 (1998), 803-827), and its validity allows an explicit description of the variety of parametrizations of degree n and class μ, for all (n,μ).
dc.description6 pages, revised version accepted for publication in Communications in Algebra
dc.identifierhttps://arxiv.org/abs/math/0204177
dc.identifierhttp://arxiv.org/abs/math/0204177
dc.identifierCommunications in Algebra, Vol. 32, No.1 159-165, 2004.
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/63811
dc.subjectAlgebraic Geometry
dc.subjectCommutative Algebra
dc.subject13Pxx, 14H50
dc.titleOn the structure of mu-classes
dc.typetext

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