Covering rational surfaces with rational parametrization images

J. Caravantes, J.R. Sendra and C. Villarino belong to the Research Group ASYNACS (Ref. CT-CE2019/683). D. Sevilla is a member of the research group GADAC and is partially supported by Junta de Extremadura and FEDER funds (group FQM024).

Bibliographic Details
Authors: Caravantes Tortajada, Jorge|||0000-0001-9550-2481, Sendra Pons, Juan Rafael|||0000-0003-2568-1159, Sevilla, David, Villarino Cabellos, Carlos|||0000-0003-3101-3245
Format: article
Publication Date:2021
Country:España
Institution:Universidad de Alcalá (UAH)
Repository:e_Buah Biblioteca Digital Universidad de Alcalá
Language:English
OAI Identifier:oai:ebuah.uah.es:10017/49642
Online Access:http://hdl.handle.net/10017/49642
https://dx.doi.org/10.3390/math9040338
Access Level:Open access
Keyword:Rational surface
Birational parametrization
Surjective parametrization
Surface cover
Base points
Matemáticas
Mathematics
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spelling Covering rational surfaces with rational parametrization imagesCaravantes Tortajada, Jorge|||0000-0001-9550-2481Sendra Pons, Juan Rafael|||0000-0003-2568-1159Sevilla, DavidVillarino Cabellos, Carlos|||0000-0003-3101-3245Rational surfaceBirational parametrizationSurjective parametrizationSurface coverBase pointsMatemáticasMathematicsJ. Caravantes, J.R. Sendra and C. Villarino belong to the Research Group ASYNACS (Ref. CT-CE2019/683). D. Sevilla is a member of the research group GADAC and is partially supported by Junta de Extremadura and FEDER funds (group FQM024).Let S be a rational projective surface given by means of a projective rational parametrization whose base locus satisfies a mild assumption. In this paper we present an algorithm that provides three rational maps f , g, h : A2 S ⊂ P n such that the union of the three images covers S. As a consequence, we present a second algorithm that generates two rational maps f , g˜ : A2 S, such that the union of its images covers the affine surface S ∩ An . In the affine case, the number of rational maps involved in the cover is in general optimal.Agencia Estatal de InvestigaciónMDPI20212021-02-08journal articlehttp://purl.org/coar/resource_type/c_6501NAhttp://purl.org/coar/version/c_be7fb7dd8ff6fe43info:eu-repo/semantics/articleapplication/pdfhttp://hdl.handle.net/10017/49642https://dx.doi.org/10.3390/math9040338reponame:e_Buah Biblioteca Digital Universidad de Alcaláinstname:Universidad de Alcalá (UAH)InglésengAgencia Estatal de Investigación http://dx.doi.org/10.13039/501100011033 Plan Estatal de Investigación Científica y Técnica y de Innovación 2013-2016 MTM2017-88796-P COMPUTACION SIMBOLICA: NUEVOS RETOS EN ALGEBRA Y GEOMETRIA Y SUS APLICACIONESopen 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:10017/496422026-06-18T11:13:07Z
dc.title.none.fl_str_mv Covering rational surfaces with rational parametrization images
title Covering rational surfaces with rational parametrization images
spellingShingle Covering rational surfaces with rational parametrization images
Caravantes Tortajada, Jorge|||0000-0001-9550-2481
Rational surface
Birational parametrization
Surjective parametrization
Surface cover
Base points
Matemáticas
Mathematics
title_short Covering rational surfaces with rational parametrization images
title_full Covering rational surfaces with rational parametrization images
title_fullStr Covering rational surfaces with rational parametrization images
title_full_unstemmed Covering rational surfaces with rational parametrization images
title_sort Covering rational surfaces with rational parametrization images
dc.creator.none.fl_str_mv Caravantes Tortajada, Jorge|||0000-0001-9550-2481
Sendra Pons, Juan Rafael|||0000-0003-2568-1159
Sevilla, David
Villarino Cabellos, Carlos|||0000-0003-3101-3245
author Caravantes Tortajada, Jorge|||0000-0001-9550-2481
author_facet Caravantes Tortajada, Jorge|||0000-0001-9550-2481
Sendra Pons, Juan Rafael|||0000-0003-2568-1159
Sevilla, David
Villarino Cabellos, Carlos|||0000-0003-3101-3245
author_role author
author2 Sendra Pons, Juan Rafael|||0000-0003-2568-1159
Sevilla, David
Villarino Cabellos, Carlos|||0000-0003-3101-3245
author2_role author
author
author
dc.subject.none.fl_str_mv Rational surface
Birational parametrization
Surjective parametrization
Surface cover
Base points
Matemáticas
Mathematics
topic Rational surface
Birational parametrization
Surjective parametrization
Surface cover
Base points
Matemáticas
Mathematics
description J. Caravantes, J.R. Sendra and C. Villarino belong to the Research Group ASYNACS (Ref. CT-CE2019/683). D. Sevilla is a member of the research group GADAC and is partially supported by Junta de Extremadura and FEDER funds (group FQM024).
publishDate 2021
dc.date.none.fl_str_mv 2021
2021-02-08
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/10017/49642
https://dx.doi.org/10.3390/math9040338
url http://hdl.handle.net/10017/49642
https://dx.doi.org/10.3390/math9040338
dc.language.none.fl_str_mv Inglés
eng
language_invalid_str_mv Inglés
language eng
dc.relation.none.fl_str_mv Agencia Estatal de Investigación http://dx.doi.org/10.13039/501100011033 Plan Estatal de Investigación Científica y Técnica y de Innovación 2013-2016 MTM2017-88796-P COMPUTACION SIMBOLICA: NUEVOS RETOS EN ALGEBRA Y GEOMETRIA Y SUS APLICACIONES
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 MDPI
publisher.none.fl_str_mv MDPI
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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