Reparametrizing swung surfaces over the reals

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dc.contributor.authorAndradas Heranz, Carlos
dc.contributor.authorRecio, Tomás
dc.contributor.authorSendra, J. Rafael
dc.contributor.authorTabera, Luis F.
dc.contributor.authorVillarino, Carlos
dc.date.accessioned2023-06-19T13:23:52Z
dc.date.available2023-06-19T13:23:52Z
dc.date.issued2014-04
dc.description.abstractLet be a computable subfield of the real numbers (for instance, ). We present an algorithm to decide whether a given parametrization of a rational swung surface, with coefficients in , can be reparametrized over a real (i.e., embedded in ) finite field extension of . Swung surfaces include, in particular, surfaces of revolution.
dc.description.departmentDepto. de Álgebra, Geometría y Topología
dc.description.facultyFac. de Ciencias Matemáticas
dc.description.facultyInstituto de Matemática Interdisciplinar (IMI)
dc.description.refereedTRUE
dc.description.sponsorshipSpanish GAAR
dc.description.sponsorshipGAAR Grupos
dc.description.sponsorshipSpanish "Ministerio de Economia y Competitividad"
dc.description.sponsorshipEuropean Regional Development Fund (ERDF)
dc.description.statuspub
dc.eprint.idhttps://eprints.ucm.es/id/eprint/25293
dc.identifier.doi10.1007/s00200-014-0215-6
dc.identifier.issn0938-1279
dc.identifier.officialurlhttp://link.springer.com/article/10.1007%2Fs00200-014-0215-6
dc.identifier.relatedurlhttp://www.springer.com/
dc.identifier.urihttps://hdl.handle.net/20.500.14352/33528
dc.issue.number1-2
dc.journal.titleApplicable Algebra in Engineering, Communication and Computing
dc.language.isoeng
dc.page.final65
dc.page.initial39
dc.publisherSpringer
dc.relation.projectIDMTM2011-22435
dc.relation.projectIDPR34/07-15813
dc.relation.projectIDUCM 910444
dc.relation.projectIDMTM2011-25816-C02-(01, 02)
dc.rights.accessRightsrestricted access
dc.subject.cdu512
dc.subject.keywordSwung surfaces
dc.subject.keywordRevolution surfaces
dc.subject.keywordReal and complex surfaces
dc.subject.keywordRational parametrization
dc.subject.keywordUltraquadrics
dc.subject.ucmÁlgebra
dc.subject.unesco1201 Álgebra
dc.titleReparametrizing swung surfaces over the reals
dc.typejournal article
dc.volume.number25
dspace.entity.typePublication
relation.isAuthorOfPublicationa74c23fe-4059-4e73-806b-71967e14ab67
relation.isAuthorOfPublication.latestForDiscoverya74c23fe-4059-4e73-806b-71967e14ab67

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