The Grobner basis and solution set of a polynomial system related to the Jacobian conjecture

Descripción del Articulo

We compute the Groebner basis of a system of polynomial equations related to the Jacobian conjecture, and describe completely the solution set.
Detalles Bibliográficos
Autores: Valqui, Christian, Ramírez, Valeria
Formato: artículo
Fecha de Publicación:2025
Institución:Pontificia Universidad Católica del Perú
Repositorio:PUCP-Institucional
Lenguaje:inglés
OAI Identifier:oai:repositorio.pucp.edu.pe:20.500.14657/205128
Enlace del recurso:https://revistas.pucp.edu.pe/index.php/promathematica/article/view/32277/28097
http://hdl.handle.net/20.500.14657/205128
https://doi.org/10.18800/promathematica.202401.003
Nivel de acceso:acceso abierto
Materia:Jacobian conjecture
Groebner basis
Conjetura jacobiana
Base de Groebner
https://purl.org/pe-repo/ocde/ford#1.01.00
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spelling Valqui, ChristianRamírez, Valeria2025-11-18T21:33:44Z2025-11-05https://revistas.pucp.edu.pe/index.php/promathematica/article/view/32277/28097http://hdl.handle.net/20.500.14657/205128https://doi.org/10.18800/promathematica.202401.003We compute the Groebner basis of a system of polynomial equations related to the Jacobian conjecture, and describe completely the solution set.Calculamos la base de Groebner de un sistema de ecuaciones polinomiales relacionadas con la conjetura jacobiana y describimos completamente el conjunto de soluciones.application/pdfengPontificia Universidad Católica del PerúPEurn:issn:2305-2430urn:issn:1012-3938info:eu-repo/semantics/openAccesshttp://creativecommons.org/licenses/by/4.0Pro Mathematica; Vol. 33 Núm. 65 (2024)reponame:PUCP-Institucionalinstname:Pontificia Universidad Católica del Perúinstacron:PUCPJacobian conjectureGroebner basisConjetura jacobianaBase de Groebnerhttps://purl.org/pe-repo/ocde/ford#1.01.00The Grobner basis and solution set of a polynomial system related to the Jacobian conjectureinfo:eu-repo/semantics/articleArtículo20.500.14657/205128oai:repositorio.pucp.edu.pe:20.500.14657/2051282025-11-18T21:33:44.805837Zhttp://creativecommons.org/licenses/by/4.0info:eu-repo/semantics/openAccessmetadata.onlyhttps://repositorio.pucp.edu.peRepositorio Institucional de la PUCPrepositorio@pucp.pe
dc.title.en_US.fl_str_mv The Grobner basis and solution set of a polynomial system related to the Jacobian conjecture
title The Grobner basis and solution set of a polynomial system related to the Jacobian conjecture
spellingShingle The Grobner basis and solution set of a polynomial system related to the Jacobian conjecture
Valqui, Christian
Jacobian conjecture
Groebner basis
Conjetura jacobiana
Base de Groebner
https://purl.org/pe-repo/ocde/ford#1.01.00
title_short The Grobner basis and solution set of a polynomial system related to the Jacobian conjecture
title_full The Grobner basis and solution set of a polynomial system related to the Jacobian conjecture
title_fullStr The Grobner basis and solution set of a polynomial system related to the Jacobian conjecture
title_full_unstemmed The Grobner basis and solution set of a polynomial system related to the Jacobian conjecture
title_sort The Grobner basis and solution set of a polynomial system related to the Jacobian conjecture
author Valqui, Christian
author_facet Valqui, Christian
Ramírez, Valeria
author_role author
author2 Ramírez, Valeria
author2_role author
dc.contributor.author.fl_str_mv Valqui, Christian
Ramírez, Valeria
dc.subject.en_US.fl_str_mv Jacobian conjecture
Groebner basis
topic Jacobian conjecture
Groebner basis
Conjetura jacobiana
Base de Groebner
https://purl.org/pe-repo/ocde/ford#1.01.00
dc.subject.es_ES.fl_str_mv Conjetura jacobiana
Base de Groebner
dc.subject.ocde.none.fl_str_mv https://purl.org/pe-repo/ocde/ford#1.01.00
description We compute the Groebner basis of a system of polynomial equations related to the Jacobian conjecture, and describe completely the solution set.
publishDate 2025
dc.date.accessioned.none.fl_str_mv 2025-11-18T21:33:44Z
dc.date.issued.fl_str_mv 2025-11-05
dc.type.none.fl_str_mv info:eu-repo/semantics/article
dc.type.other.none.fl_str_mv Artículo
format article
dc.identifier.uri.none.fl_str_mv https://revistas.pucp.edu.pe/index.php/promathematica/article/view/32277/28097
http://hdl.handle.net/20.500.14657/205128
dc.identifier.doi.none.fl_str_mv https://doi.org/10.18800/promathematica.202401.003
url https://revistas.pucp.edu.pe/index.php/promathematica/article/view/32277/28097
http://hdl.handle.net/20.500.14657/205128
https://doi.org/10.18800/promathematica.202401.003
dc.language.iso.none.fl_str_mv eng
language eng
dc.relation.ispartof.none.fl_str_mv urn:issn:2305-2430
urn:issn:1012-3938
dc.rights.es_ES.fl_str_mv info:eu-repo/semantics/openAccess
dc.rights.uri.none.fl_str_mv http://creativecommons.org/licenses/by/4.0
eu_rights_str_mv openAccess
rights_invalid_str_mv http://creativecommons.org/licenses/by/4.0
dc.format.none.fl_str_mv application/pdf
dc.publisher.es_ES.fl_str_mv Pontificia Universidad Católica del Perú
dc.publisher.country.none.fl_str_mv PE
dc.source.es_ES.fl_str_mv Pro Mathematica; Vol. 33 Núm. 65 (2024)
dc.source.none.fl_str_mv reponame:PUCP-Institucional
instname:Pontificia Universidad Católica del Perú
instacron:PUCP
instname_str Pontificia Universidad Católica del Perú
instacron_str PUCP
institution PUCP
reponame_str PUCP-Institucional
collection PUCP-Institucional
repository.name.fl_str_mv Repositorio Institucional de la PUCP
repository.mail.fl_str_mv repositorio@pucp.pe
_version_ 1849589963119656960
score 13.919034
The Grobner basis and solution set of a polynomial system related to the Jacobian conjecture
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