A sufficient condition in order that the Real Jacobian Conjecture in R^2 holds

Let F=(f,g):\R^2\R^2 be a polynomial map such that DF(x) is different from zero for all x\R^2 and F(0,0) = (0,0). We prove that for the injectivity of F it is sufficient to assume that the higher homogeneous terms of the polynomials ff_x g g_x and f f_y g g_y do not have real linear factors in commo...

Descripción completa

Detalles Bibliográficos
Autores: Braun, Francisco|||0000-0003-3594-9809, Giné, Jaume|||0000-0001-7109-2553, Llibre, Jaume|||0000-0002-9511-5999
Tipo de recurso: artículo
Fecha de publicación:2016
País:España
Institución:Universitat Autònoma de Barcelona
Repositorio:Dipòsit Digital de Documents de la UAB
Idioma:inglés
OAI Identifier:oai:ddd.uab.cat:169471
Acceso en línea:https://ddd.uab.cat/record/169471
https://dx.doi.org/urn:doi:10.1016/j.jde.2015.12.011
Access Level:acceso abierto
Palabra clave:Centre
Global injectivity
Real Jacobian conjecture
id ES_e4e5b4b8390a26dfe8d8cb1b0f440a67
oai_identifier_str oai:ddd.uab.cat:169471
network_acronym_str ES
network_name_str España
repository_id_str
spelling A sufficient condition in order that the Real Jacobian Conjecture in R^2 holdsBraun, Francisco|||0000-0003-3594-9809Giné, Jaume|||0000-0001-7109-2553Llibre, Jaume|||0000-0002-9511-5999CentreGlobal injectivityReal Jacobian conjectureLet F=(f,g):\R^2\R^2 be a polynomial map such that DF(x) is different from zero for all x\R^2 and F(0,0) = (0,0). We prove that for the injectivity of F it is sufficient to assume that the higher homogeneous terms of the polynomials ff_x g g_x and f f_y g g_y do not have real linear factors in common. 22016-01-0120162016-01-01Articlehttp://purl.org/coar/resource_type/c_6501AMhttp://purl.org/coar/version/c_ab4af688f83e57aainfo:eu-repo/semantics/articleapplication/pdfhttps://ddd.uab.cat/record/169471https://dx.doi.org/urn:doi:10.1016/j.jde.2015.12.011reponame:Dipòsit Digital de Documents de la UABinstname:Universitat Autònoma de BarcelonaInglésengMinisterio de Economía y Competitividad https://doi.org/10.13039/501100003329 MTM2014-53703-PMinisterio de Economía y Competitividad https://doi.org/10.13039/501100003329 MTM2013-40998-PAgència de Gestió d'Ajuts Universitaris i de Recerca https://doi.org/10.13039/501100003030 2014/SGR-1204Agència de Gestió d'Ajuts Universitaris i de Recerca https://doi.org/10.13039/501100003030 2014/SGR-568European Commission https://doi.org/10.13039/501100000780 316338European Commission https://doi.org/10.13039/501100000780 316339open accesshttp://purl.org/coar/access_right/c_abf2Aquest material està protegit per drets d'autor i/o drets afins. Podeu utilitzar aquest material en funció del que permet la legislació de drets d'autor i drets afins d'aplicació al vostre cas. Per a d'altres usos heu d'obtenir permís del(s) titular(s) de drets.https://rightsstatements.org/vocab/InC/1.0/info:eu-repo/semantics/openAccessoai:ddd.uab.cat:1694712026-06-06T12:50:31Z
dc.title.none.fl_str_mv A sufficient condition in order that the Real Jacobian Conjecture in R^2 holds
title A sufficient condition in order that the Real Jacobian Conjecture in R^2 holds
spellingShingle A sufficient condition in order that the Real Jacobian Conjecture in R^2 holds
Braun, Francisco|||0000-0003-3594-9809
Centre
Global injectivity
Real Jacobian conjecture
title_short A sufficient condition in order that the Real Jacobian Conjecture in R^2 holds
title_full A sufficient condition in order that the Real Jacobian Conjecture in R^2 holds
title_fullStr A sufficient condition in order that the Real Jacobian Conjecture in R^2 holds
title_full_unstemmed A sufficient condition in order that the Real Jacobian Conjecture in R^2 holds
title_sort A sufficient condition in order that the Real Jacobian Conjecture in R^2 holds
dc.creator.none.fl_str_mv Braun, Francisco|||0000-0003-3594-9809
Giné, Jaume|||0000-0001-7109-2553
Llibre, Jaume|||0000-0002-9511-5999
author Braun, Francisco|||0000-0003-3594-9809
author_facet Braun, Francisco|||0000-0003-3594-9809
Giné, Jaume|||0000-0001-7109-2553
Llibre, Jaume|||0000-0002-9511-5999
author_role author
author2 Giné, Jaume|||0000-0001-7109-2553
Llibre, Jaume|||0000-0002-9511-5999
author2_role author
author
dc.subject.none.fl_str_mv Centre
Global injectivity
Real Jacobian conjecture
topic Centre
Global injectivity
Real Jacobian conjecture
description Let F=(f,g):\R^2\R^2 be a polynomial map such that DF(x) is different from zero for all x\R^2 and F(0,0) = (0,0). We prove that for the injectivity of F it is sufficient to assume that the higher homogeneous terms of the polynomials ff_x g g_x and f f_y g g_y do not have real linear factors in common.
publishDate 2016
dc.date.none.fl_str_mv 2
2016-01-01
2016
2016-01-01
dc.type.none.fl_str_mv Article
http://purl.org/coar/resource_type/c_6501
AM
http://purl.org/coar/version/c_ab4af688f83e57aa
dc.type.openaire.fl_str_mv info:eu-repo/semantics/article
format article
dc.identifier.none.fl_str_mv https://ddd.uab.cat/record/169471
https://dx.doi.org/urn:doi:10.1016/j.jde.2015.12.011
url https://ddd.uab.cat/record/169471
https://dx.doi.org/urn:doi:10.1016/j.jde.2015.12.011
dc.language.none.fl_str_mv Inglés
eng
language_invalid_str_mv Inglés
language eng
dc.relation.none.fl_str_mv Ministerio de Economía y Competitividad https://doi.org/10.13039/501100003329 MTM2014-53703-P
Ministerio de Economía y Competitividad https://doi.org/10.13039/501100003329 MTM2013-40998-P
Agència de Gestió d'Ajuts Universitaris i de Recerca https://doi.org/10.13039/501100003030 2014/SGR-1204
Agència de Gestió d'Ajuts Universitaris i de Recerca https://doi.org/10.13039/501100003030 2014/SGR-568
European Commission https://doi.org/10.13039/501100000780 316338
European Commission https://doi.org/10.13039/501100000780 316339
dc.rights.none.fl_str_mv open access
http://purl.org/coar/access_right/c_abf2
https://rightsstatements.org/vocab/InC/1.0/
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
https://rightsstatements.org/vocab/InC/1.0/
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv application/pdf
dc.source.none.fl_str_mv reponame:Dipòsit Digital de Documents de la UAB
instname:Universitat Autònoma de Barcelona
instname_str Universitat Autònoma de Barcelona
reponame_str Dipòsit Digital de Documents de la UAB
collection Dipòsit Digital de Documents de la UAB
repository.name.fl_str_mv
repository.mail.fl_str_mv
_version_ 1869422631910899712
score 15.300719

Similares en LA Referencia