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dc.provenanceCONICET-
dc.creatorBotbol, Nicolas Santiago-
dc.creatorBusé, Laurent-
dc.creatorChardin, Marc-
dc.creatorHassanzadeh, Seyed Hamid-
dc.creatorSimis, Aron-
dc.creatorTran, Quang Hoa-
dc.date2018-09-18T14:43:30Z-
dc.date2018-09-18T14:43:30Z-
dc.date2017-07-
dc.date2018-09-17T19:27:11Z-
dc.date.accessioned2019-04-29T15:37:45Z-
dc.date.available2019-04-29T15:37:45Z-
dc.date.issued2017-07-
dc.identifierBotbol, Nicolas Santiago; Busé, Laurent; Chardin, Marc; Hassanzadeh, Seyed Hamid; Simis, Aron; et al.; Effective criteria for bigraded birational maps; Academic Press Ltd - Elsevier Science Ltd; Journal Of Symbolic Computation; 81; 7-2017; 69-87-
dc.identifier0747-7171-
dc.identifierhttp://hdl.handle.net/11336/60061-
dc.identifierCONICET Digital-
dc.identifierCONICET-
dc.identifier.urihttp://rodna.bn.gov.ar:8080/jspui/handle/bnmm/298061-
dc.descriptionIn this paper, we consider rational maps whose source is a product of two subvarieties, each one being embedded in a projective space. Our main objective is to investigate birationality criteria for such maps. First, a general criterion is given in terms of the rank of a couple of matrices that became to be known as Jacobian dual matrices. Then, we focus on rational maps from P1×P1 to P2 in very low bidegrees and provide new matrix-based birationality criteria by analyzing the syzygies of the defining equations of the map, in particular by looking at the dimension of certain bigraded parts of the syzygy module. Finally, applications of our results to the context of geometric modeling are discussed at the end of the paper.-
dc.descriptionFil: Botbol, Nicolas Santiago. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales. Departamento de Matemática; Argentina. Consejo Nacional de Investigaciones Científicas y Técnicas; Argentina-
dc.descriptionFil: Busé, Laurent. Université Côte d'Azur; Francia-
dc.descriptionFil: Chardin, Marc. Institut de Mathématiques de Jussieu; Francia-
dc.descriptionFil: Hassanzadeh, Seyed Hamid. Universidade Federal do Rio de Janeiro; Brasil-
dc.descriptionFil: Simis, Aron. Universidade Federal de Pernambuco; Brasil-
dc.descriptionFil: Tran, Quang Hoa. Institut de Mathématiques de Jussieu; Francia. Hue University's College of Education; Francia-
dc.formatapplication/pdf-
dc.formatapplication/pdf-
dc.languageeng-
dc.publisherAcademic Press Ltd - Elsevier Science Ltd-
dc.relationinfo:eu-repo/semantics/altIdentifier/doi/http://dx.doi.org/10.1016/j.jsc.2016.12.001-
dc.relationinfo:eu-repo/semantics/altIdentifier/url/https://www.sciencedirect.com/science/article/pii/S0747717116301626-
dc.relationinfo:eu-repo/semantics/altIdentifier/url/https://arxiv.org/abs/1602.07490-
dc.rightsinfo:eu-repo/semantics/openAccess-
dc.rightshttps://creativecommons.org/licenses/by-nc-nd/2.5/ar/-
dc.sourcereponame:CONICET Digital (CONICET)-
dc.sourceinstname:Consejo Nacional de Investigaciones Científicas y Técnicas-
dc.sourceinstacron:CONICET-
dc.source.urihttp://hdl.handle.net/11336/60061-
dc.subjectBIGRADED BASE IDEAL-
dc.subjectBIGRADED RATIONAL MAPS-
dc.subjectBIRATIONALITY CRITERIA-
dc.subjectJACOBIAN DUAL RANK-
dc.subjectREES ALGEBRAS-
dc.subjectMatemática Pura-
dc.subjectMatemáticas-
dc.subjectCIENCIAS NATURALES Y EXACTAS-
dc.titleEffective criteria for bigraded birational maps-
dc.typeinfo:eu-repo/semantics/article-
dc.typeinfo:eu-repo/semantics/publishedVersion-
dc.typeinfo:ar-repo/semantics/articulo-
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