Reparametrizing Swung Surfaces over the Reals

Let K ⊆ R be a computable subfield of the real numbers (for instance, Q). We present an algorithm to decide whether a given parametrization of a rational swung surface, with coefficients in K(i), can be reparametrized over a real (i.e., embedded in R) finite field extension of K. Swung surfaces incl...

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Detalles Bibliográficos
Autores: Andradas, Carlos, Recio, Tomás, Sendra Pons, Juan Rafael|||0000-0003-2568-1159, Tabera, Luis Felipe, Villarino Cabellos, Carlos|||0000-0003-3101-3245
Tipo de recurso: artículo
Fecha de publicación:2014
País:España
Institución:Universidad de Alcalá (UAH)
Repositorio:e_Buah Biblioteca Digital Universidad de Alcalá
Idioma:inglés
OAI Identifier:oai:ebuah.uah.es:10017/20448
Acceso en línea:http://hdl.handle.net/10017/20448
https://dx.doi.org/10.1007/s00200-014-0215-6
Access Level:acceso abierto
Palabra clave:Swung surfaces
Revolution surface
Real and complex surfaces
8 rational parametrization
Ultraquadrics
Ciencia
Matemáticas
Science
Mathematics
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spelling Reparametrizing Swung Surfaces over the RealsAndradas, CarlosRecio, TomásSendra Pons, Juan Rafael|||0000-0003-2568-1159Tabera, Luis FelipeVillarino Cabellos, Carlos|||0000-0003-3101-3245Swung surfacesRevolution surfaceReal and complex surfaces8 rational parametrizationUltraquadricsCienciaMatemáticasScienceMathematicsLet K ⊆ R be a computable subfield of the real numbers (for instance, Q). We present an algorithm to decide whether a given parametrization of a rational swung surface, with coefficients in K(i), can be reparametrized over a real (i.e., embedded in R) finite field extension of K. Swung surfaces include, in particular, surfaces of revolution.Ministerio de Ciencia e InnovaciónSpringer20142014-01-01journal articlehttp://purl.org/coar/resource_type/c_6501NAhttp://purl.org/coar/version/c_be7fb7dd8ff6fe43info:eu-repo/semantics/articleapplication/pdfhttp://hdl.handle.net/10017/20448https://dx.doi.org/10.1007/s00200-014-0215-6reponame:e_Buah Biblioteca Digital Universidad de Alcaláinstname:Universidad de Alcalá (UAH)InglésengMinisterio de Ciencia e Innovación http://dx.doi.org/10.13039/501100004837 Not available MTM2011-25816-C02-01 ALGORITMOS Y APLICACIONES EN GEOMETRIA DE CURVAS Y SUPERFICIESopen accesshttp://purl.org/coar/access_right/c_abf2Attribution-NonCommercial-NoDerivatives 4.0 Internationalhttp://creativecommons.org/licenses/by-nc-nd/4.0/info:eu-repo/semantics/openAccessoai:ebuah.uah.es:10017/204482026-06-18T11:13:07Z
dc.title.none.fl_str_mv Reparametrizing Swung Surfaces over the Reals
title Reparametrizing Swung Surfaces over the Reals
spellingShingle Reparametrizing Swung Surfaces over the Reals
Andradas, Carlos
Swung surfaces
Revolution surface
Real and complex surfaces
8 rational parametrization
Ultraquadrics
Ciencia
Matemáticas
Science
Mathematics
title_short Reparametrizing Swung Surfaces over the Reals
title_full Reparametrizing Swung Surfaces over the Reals
title_fullStr Reparametrizing Swung Surfaces over the Reals
title_full_unstemmed Reparametrizing Swung Surfaces over the Reals
title_sort Reparametrizing Swung Surfaces over the Reals
dc.creator.none.fl_str_mv Andradas, Carlos
Recio, Tomás
Sendra Pons, Juan Rafael|||0000-0003-2568-1159
Tabera, Luis Felipe
Villarino Cabellos, Carlos|||0000-0003-3101-3245
author Andradas, Carlos
author_facet Andradas, Carlos
Recio, Tomás
Sendra Pons, Juan Rafael|||0000-0003-2568-1159
Tabera, Luis Felipe
Villarino Cabellos, Carlos|||0000-0003-3101-3245
author_role author
author2 Recio, Tomás
Sendra Pons, Juan Rafael|||0000-0003-2568-1159
Tabera, Luis Felipe
Villarino Cabellos, Carlos|||0000-0003-3101-3245
author2_role author
author
author
author
dc.subject.none.fl_str_mv Swung surfaces
Revolution surface
Real and complex surfaces
8 rational parametrization
Ultraquadrics
Ciencia
Matemáticas
Science
Mathematics
topic Swung surfaces
Revolution surface
Real and complex surfaces
8 rational parametrization
Ultraquadrics
Ciencia
Matemáticas
Science
Mathematics
description Let K ⊆ R be a computable subfield of the real numbers (for instance, Q). We present an algorithm to decide whether a given parametrization of a rational swung surface, with coefficients in K(i), can be reparametrized over a real (i.e., embedded in R) finite field extension of K. Swung surfaces include, in particular, surfaces of revolution.
publishDate 2014
dc.date.none.fl_str_mv 2014
2014-01-01
dc.type.none.fl_str_mv journal article
http://purl.org/coar/resource_type/c_6501
NA
http://purl.org/coar/version/c_be7fb7dd8ff6fe43
dc.type.openaire.fl_str_mv info:eu-repo/semantics/article
format article
dc.identifier.none.fl_str_mv http://hdl.handle.net/10017/20448
https://dx.doi.org/10.1007/s00200-014-0215-6
url http://hdl.handle.net/10017/20448
https://dx.doi.org/10.1007/s00200-014-0215-6
dc.language.none.fl_str_mv Inglés
eng
language_invalid_str_mv Inglés
language eng
dc.relation.none.fl_str_mv Ministerio de Ciencia e Innovación http://dx.doi.org/10.13039/501100004837 Not available MTM2011-25816-C02-01 ALGORITMOS Y APLICACIONES EN GEOMETRIA DE CURVAS Y SUPERFICIES
dc.rights.none.fl_str_mv open access
http://purl.org/coar/access_right/c_abf2
Attribution-NonCommercial-NoDerivatives 4.0 International
http://creativecommons.org/licenses/by-nc-nd/4.0/
dc.rights.openaire.fl_str_mv info:eu-repo/semantics/openAccess
rights_invalid_str_mv open access
http://purl.org/coar/access_right/c_abf2
Attribution-NonCommercial-NoDerivatives 4.0 International
http://creativecommons.org/licenses/by-nc-nd/4.0/
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv application/pdf
dc.publisher.none.fl_str_mv Springer
publisher.none.fl_str_mv Springer
dc.source.none.fl_str_mv reponame:e_Buah Biblioteca Digital Universidad de Alcalá
instname:Universidad de Alcalá (UAH)
instname_str Universidad de Alcalá (UAH)
reponame_str e_Buah Biblioteca Digital Universidad de Alcalá
collection e_Buah Biblioteca Digital Universidad de Alcalá
repository.name.fl_str_mv
repository.mail.fl_str_mv
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