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 includ...

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Detalles Bibliográficos
Autores: Andradas, Carlos, Recio Muñiz, Tomás|||0000-0002-1011-295X, Sendra Pons, Juan Rafael, Tabera Alonso, Luis Felipe|||0000-0002-7876-4313, Villarino Cabellos, Carlos
Tipo de recurso: artículo
Fecha de publicación:2014
País:España
Institución:Universidad de Cantabria (UC)
Repositorio:UCrea Repositorio Abierto de la Universidad de Cantabria
Idioma:inglés
OAI Identifier:oai:repositorio.unican.es:10902/5394
Acceso en línea:http://hdl.handle.net/10902/5394
Access Level:acceso abierto
Palabra clave:Swung surfaces
Revolution surfaces
Real and complex surfaces
Rational parametrization
Ultraquadrics
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spelling Reparametrizing Swung Surfaces over the RealsAndradas, CarlosRecio Muñiz, Tomás|||0000-0002-1011-295XSendra Pons, Juan RafaelTabera Alonso, Luis Felipe|||0000-0002-7876-4313Villarino Cabellos, CarlosSwung surfacesRevolution surfacesReal and complex surfacesRational parametrizationUltraquadricsLet 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.Springer Berlin HeidelbergUniversidad de Cantabria20142014-01-01journal articlehttp://purl.org/coar/resource_type/c_6501NAhttp://purl.org/coar/version/c_be7fb7dd8ff6fe43info:eu-repo/semantics/articlehttp://hdl.handle.net/10902/5394Applicable Algebra in Engineering, Communication and Computing, Vol. 25, Iss. 1-2 , pp 39-65, (2014)reponame:UCrea Repositorio Abierto de la Universidad de Cantabriainstname:Universidad de Cantabria (UC)Inglésengopen accesshttp://purl.org/coar/access_right/c_abf2info:eu-repo/semantics/openAccessoai:repositorio.unican.es:10902/53942026-06-02T12:39:31Z
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 surfaces
Real and complex surfaces
Rational parametrization
Ultraquadrics
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 Muñiz, Tomás|||0000-0002-1011-295X
Sendra Pons, Juan Rafael
Tabera Alonso, Luis Felipe|||0000-0002-7876-4313
Villarino Cabellos, Carlos
author Andradas, Carlos
author_facet Andradas, Carlos
Recio Muñiz, Tomás|||0000-0002-1011-295X
Sendra Pons, Juan Rafael
Tabera Alonso, Luis Felipe|||0000-0002-7876-4313
Villarino Cabellos, Carlos
author_role author
author2 Recio Muñiz, Tomás|||0000-0002-1011-295X
Sendra Pons, Juan Rafael
Tabera Alonso, Luis Felipe|||0000-0002-7876-4313
Villarino Cabellos, Carlos
author2_role author
author
author
author
dc.contributor.none.fl_str_mv Universidad de Cantabria
dc.subject.none.fl_str_mv Swung surfaces
Revolution surfaces
Real and complex surfaces
Rational parametrization
Ultraquadrics
topic Swung surfaces
Revolution surfaces
Real and complex surfaces
Rational parametrization
Ultraquadrics
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/10902/5394
url http://hdl.handle.net/10902/5394
dc.language.none.fl_str_mv Inglés
eng
language_invalid_str_mv Inglés
language eng
dc.rights.none.fl_str_mv open access
http://purl.org/coar/access_right/c_abf2
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
eu_rights_str_mv openAccess
dc.publisher.none.fl_str_mv Springer Berlin Heidelberg
publisher.none.fl_str_mv Springer Berlin Heidelberg
dc.source.none.fl_str_mv Applicable Algebra in Engineering, Communication and Computing, Vol. 25, Iss. 1-2 , pp 39-65, (2014)
reponame:UCrea Repositorio Abierto de la Universidad de Cantabria
instname:Universidad de Cantabria (UC)
instname_str Universidad de Cantabria (UC)
reponame_str UCrea Repositorio Abierto de la Universidad de Cantabria
collection UCrea Repositorio Abierto de la Universidad de Cantabria
repository.name.fl_str_mv
repository.mail.fl_str_mv
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score 15.300724

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