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dc.creatorBotbol, Nicolas Santiago-
dc.creatorDickenstein, Alicia Marcela-
dc.date2018-08-15T04:06:15Z-
dc.date2018-08-15T04:06:15Z-
dc.date2016-05-
dc.date2018-08-14T13:59:13Z-
dc.date.accessioned2019-04-29T15:51:32Z-
dc.date.available2019-04-29T15:51:32Z-
dc.date.issued2016-05-
dc.identifierBotbol, Nicolas Santiago; Dickenstein, Alicia Marcela; Implicitization of rational hypersurfaces via linear syzygies: A practical overview; Academic Press Ltd - Elsevier Science Ltd; Journal Of Symbolic Computation; 74; 5-2016; 493-512-
dc.identifier0747-7171-
dc.identifierhttp://hdl.handle.net/11336/55540-
dc.identifierCONICET Digital-
dc.identifierCONICET-
dc.identifier.urihttp://rodna.bn.gov.ar:8080/jspui/handle/bnmm/303902-
dc.descriptionWe unveil in concrete terms the general machinery of the syzygy-based algorithms for the implicitization of rational surfaces in terms of the monomials in the polynomials defining the parametrization, following and expanding our joint article with M. Dohm. These algebraic techniques, based on the theory of approximation complexes due to J. Herzog, A. Simis and W. Vasconcelos, were introduced for the implicitization problem by J.-P. Jouanolou, L. Busé, and M. Chardin. Their work was inspired by the practical method of moving curves, proposed by T. Sederberg and F. Chen, translated into the language of syzygies by D. Cox. Our aim is to express the theoretical results and resulting algorithms into very concrete terms, avoiding the use of the advanced homological commutative algebraic tools which are needed for their proofs.-
dc.descriptionFil: Botbol, Nicolas Santiago. Consejo Nacional de Investigaciones Científicas y Técnicas. Oficina de Coordinación Administrativa Ciudad Universitaria. Instituto de Investigaciones Matemáticas "Luis A. Santaló". Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales. Instituto de Investigaciones Matemáticas "Luis A. Santaló"; Argentina-
dc.descriptionFil: Dickenstein, Alicia Marcela. Consejo Nacional de Investigaciones Científicas y Técnicas. Oficina de Coordinación Administrativa Ciudad Universitaria. Instituto de Investigaciones Matemáticas "Luis A. Santaló". Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales. Instituto de Investigaciones Matemáticas "Luis A. Santaló"; Argentina-
dc.formatapplication/pdf-
dc.formatapplication/pdf-
dc.formatapplication/pdf-
dc.languageeng-
dc.publisherAcademic Press Ltd - Elsevier Science Ltd-
dc.relationinfo:eu-repo/semantics/altIdentifier/url/https://www.sciencedirect.com/science/article/pii/S0747717115000917-
dc.relationinfo:eu-repo/semantics/altIdentifier/doi/https://doi.org/10.1016/j.jsc.2015.09.001-
dc.rightsinfo:eu-repo/semantics/openAccess-
dc.rightshttps://creativecommons.org/licenses/by-nc-sa/2.5/ar/-
dc.sourcereponame:CONICET Digital (CONICET)-
dc.sourceinstname:Consejo Nacional de Investigaciones Científicas y Técnicas-
dc.sourceinstacron:CONICET-
dc.subjectIMPLICITIZATION-
dc.subjectMATRIX REPRESENTATION-
dc.subjectRATIONAL SURFACE-
dc.subjectSPARSE POLYNOMIAL-
dc.subjectSYZYGY-
dc.subjectMatemática Pura-
dc.subjectMatemáticas-
dc.subjectCIENCIAS NATURALES Y EXACTAS-
dc.titleImplicitization of rational hypersurfaces via linear syzygies: A practical overview-
dc.typeinfo:eu-repo/semantics/article-
dc.typeinfo:eu-repo/semantics/publishedVersion-
dc.typeinfo:ar-repo/semantics/articulo-
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