dc.contributor.author | Pérez Díaz, Sonia | |
dc.contributor.author | Sendra Pons, Juan Rafael | |
dc.date.accessioned | 2021-10-04T16:15:37Z | |
dc.date.available | 2021-10-04T16:15:37Z | |
dc.date.issued | 2004-10-01 | |
dc.identifier.bibliographicCitation | Pérez Díaz, S. & Sendra, J.R. 2004, "Computation of the degree of rational surface parametrizations", Journal of Pure and Applied Algebra, vol. 193, no. 1-3, pp. 99-121. | |
dc.identifier.issn | 0022-4049 | |
dc.identifier.uri | http://hdl.handle.net/10017/49505 | |
dc.description.abstract | A rational affine parametrization of an algebraic surface establishes a rational correspondence of the affine plane with the surface. We consider the problem of computing the degree of such a rational map. In general, determining the degree of a rational map can be achieved by means of elimination theoretic methods. For curves, it is shown that the degree can be computed by gcd computations. In this paper, we show that the degree of a rational map induced by a surface parametrization can be computed by means of gcd and univariate resultant computations. The basic idea is to express the elements of a generic fibre as the finitely many intersection points of certain curves directly constructed from the parametrization, and defined over the algebraic closure of a field of rational functions. | en |
dc.description.sponsorship | European Commission | en |
dc.description.sponsorship | Ministerio de Educación y Ciencia | es_ES |
dc.format.mimetype | application/pdf | en |
dc.language.iso | eng | en |
dc.publisher | Elsevier | |
dc.rights | Attribution-NonCommercial-NoDerivatives 4.0 International (CC BY-NC-ND 4.0) | * |
dc.rights | © 2003 Elsevier | |
dc.rights.uri | http://creativecommons.org/licenses/by-nc-nd/4.0/ | * |
dc.subject | Rational Parametrization | en |
dc.subject | Algebraic Surface | en |
dc.subject | Degree of a Rational Map | en |
dc.title | Computation of the degree of rational surface parametrizations | en |
dc.type | info:eu-repo/semantics/article | en |
dc.subject.eciencia | Matemáticas | es_ES |
dc.subject.eciencia | Mathematics | en |
dc.contributor.affiliation | Universidad de Alcalá. Departamento de Física y Matemáticas. Unidad docente Matemáticas | es_ES |
dc.date.updated | 2021-10-04T16:11:37Z | |
dc.relation.publisherversion | https://doi.org/10.1016/j.jpaa.2004.02.011 | |
dc.type.version | info:eu-repo/semantics/publishedVersion | en |
dc.identifier.doi | 10.1016/j.jpaa.2004.02.011 | |
dc.relation.projectID | info:eu-rep/grantAgreement/MEC//BMF2002-04402-C02-01 | |
dc.relation.projectID | HU2001-0002 | |
dc.relation.projectID | info:eu-repo/grantAgreement/EC/FP5-IST/IST-2001-35512/EU/INTERSECTION ALGORITHMS FOR GEOMETRY BASED IT-APPLICATIONS USING APPROXIMATE ALGEBRAIC METHODS/GAIA II | |
dc.rights.accessRights | info:eu-repo/semantics/openAccess | en |
dc.identifier.uxxi | AR/01530 | |
dc.identifier.publicationtitle | Journal of Pure and Applied Algebra | |
dc.identifier.publicationvolume | 193 | |
dc.identifier.publicationlastpage | 121 | |
dc.identifier.publicationissue | 1-3 | |
dc.identifier.publicationfirstpage | 99 | |