Infinity branches and asymptotic analysis of algebraic space curves: New techniques and applications

Let C represent an irreducible algebraic space curve defined by the real polynomials fi(x1, x2, x3) for i = 1,2. It is a recognized fact that a birational relationship invariably exists between the points on C and those on an associated irreducible plane curve, denoted as Cp. In this work, we levera...

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Detalles Bibliográficos
Autores: Pérez Díaz, Sonia|||0000-0002-0174-5325, Wang, Xin-Yu, Magdalena Benedicto, J. Rafael, Shen, Li-Yong
Tipo de recurso: artículo
Fecha de publicación:2025
País:España
Institución:Universidad de Alcalá (UAH)
Repositorio:e_Buah Biblioteca Digital Universidad de Alcalá
Idioma:inglés
OAI Identifier:oai:ebuah.uah.es:10017/68220
Acceso en línea:http://hdl.handle.net/10017/68220
https://dx.doi.org/10.1016/j.cagd.2025.102422
Access Level:acceso abierto
Palabra clave:Algebraic space curve
Implicit representation
Perfect curves
Infinity branches
Asymptotes
Matemáticas
Mathematics
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spelling Infinity branches and asymptotic analysis of algebraic space curves: New techniques and applicationsPérez Díaz, Sonia|||0000-0002-0174-5325Wang, Xin-YuMagdalena Benedicto, J. RafaelShen, Li-YongAlgebraic space curveImplicit representationPerfect curvesInfinity branchesAsymptotesMatemáticasMathematicsLet C represent an irreducible algebraic space curve defined by the real polynomials fi(x1, x2, x3) for i = 1,2. It is a recognized fact that a birational relationship invariably exists between the points on C and those on an associated irreducible plane curve, denoted as Cp. In this work, we leverage this established relationship to delineate the asymptotic behavior of C by examining the asymptotes of Cp. Building on this foundation, we introduce a novel and practical algorithm designed to efficiently compute the asymptotes of C, given that the asymptotes of Cp have been ascertained.20252025-03-03journal articlehttp://purl.org/coar/resource_type/c_6501NAhttp://purl.org/coar/version/c_be7fb7dd8ff6fe43info:eu-repo/semantics/articleapplication/pdfhttp://hdl.handle.net/10017/68220https://dx.doi.org/10.1016/j.cagd.2025.102422reponame:e_Buah Biblioteca Digital Universidad de Alcaláinstname:Universidad de Alcalá (UAH)Inglésengopen 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:10017/682202026-06-18T11:13:07Z
dc.title.none.fl_str_mv Infinity branches and asymptotic analysis of algebraic space curves: New techniques and applications
title Infinity branches and asymptotic analysis of algebraic space curves: New techniques and applications
spellingShingle Infinity branches and asymptotic analysis of algebraic space curves: New techniques and applications
Pérez Díaz, Sonia|||0000-0002-0174-5325
Algebraic space curve
Implicit representation
Perfect curves
Infinity branches
Asymptotes
Matemáticas
Mathematics
title_short Infinity branches and asymptotic analysis of algebraic space curves: New techniques and applications
title_full Infinity branches and asymptotic analysis of algebraic space curves: New techniques and applications
title_fullStr Infinity branches and asymptotic analysis of algebraic space curves: New techniques and applications
title_full_unstemmed Infinity branches and asymptotic analysis of algebraic space curves: New techniques and applications
title_sort Infinity branches and asymptotic analysis of algebraic space curves: New techniques and applications
dc.creator.none.fl_str_mv Pérez Díaz, Sonia|||0000-0002-0174-5325
Wang, Xin-Yu
Magdalena Benedicto, J. Rafael
Shen, Li-Yong
author Pérez Díaz, Sonia|||0000-0002-0174-5325
author_facet Pérez Díaz, Sonia|||0000-0002-0174-5325
Wang, Xin-Yu
Magdalena Benedicto, J. Rafael
Shen, Li-Yong
author_role author
author2 Wang, Xin-Yu
Magdalena Benedicto, J. Rafael
Shen, Li-Yong
author2_role author
author
author
dc.subject.none.fl_str_mv Algebraic space curve
Implicit representation
Perfect curves
Infinity branches
Asymptotes
Matemáticas
Mathematics
topic Algebraic space curve
Implicit representation
Perfect curves
Infinity branches
Asymptotes
Matemáticas
Mathematics
description Let C represent an irreducible algebraic space curve defined by the real polynomials fi(x1, x2, x3) for i = 1,2. It is a recognized fact that a birational relationship invariably exists between the points on C and those on an associated irreducible plane curve, denoted as Cp. In this work, we leverage this established relationship to delineate the asymptotic behavior of C by examining the asymptotes of Cp. Building on this foundation, we introduce a novel and practical algorithm designed to efficiently compute the asymptotes of C, given that the asymptotes of Cp have been ascertained.
publishDate 2025
dc.date.none.fl_str_mv 2025
2025-03-03
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/10017/68220
https://dx.doi.org/10.1016/j.cagd.2025.102422
url http://hdl.handle.net/10017/68220
https://dx.doi.org/10.1016/j.cagd.2025.102422
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
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.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
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