On the quasi-ordinary cuspidal foliations in ( C3, 0 )

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Both authors partially supported by CONCYTEC (Peru) under the research project 551-OAJ (2004), and by Junta de Castilla y León (Spain) under project VA123/04.
Detalles Bibliográficos
Autores: Fernández-Sánchez P., Mozo-Fernández J.
Formato: artículo
Fecha de Publicación:2006
Institución:Consejo Nacional de Ciencia Tecnología e Innovación
Repositorio:CONCYTEC-Institucional
Lenguaje:inglés
OAI Identifier:oai:repositorio.concytec.gob.pe:20.500.12390/746
Enlace del recurso:https://hdl.handle.net/20.500.12390/746
https://doi.org/10.1016/j.jde.2005.09.006
Nivel de acceso:acceso abierto
Materia:Reduction of singularities
Holomorphic foliations
Analytic classification
https://purl.org/pe-repo/ocde/ford#1.01.02
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spelling Publicationrp01907600rp01906600Fernández-Sánchez P.Mozo-Fernández J.2024-05-30T23:13:38Z2024-05-30T23:13:38Z2006https://hdl.handle.net/20.500.12390/746https://doi.org/10.1016/j.jde.2005.09.0062-s2.0-33646538080Both authors partially supported by CONCYTEC (Peru) under the research project 551-OAJ (2004), and by Junta de Castilla y León (Spain) under project VA123/04.In this paper, we study a class of singularities of codimension 1 holomorphic germs of foliations in (C3, 0), namely those ones having only one separatrix, that is a quasi-ordinary surface, and whose reduction of singularities agrees with the combinatorial desingularization of the separatrix. We show that the analytic classification of these germs can be read in the holonomy of a certain component of the exceptional divisor of the desingularizationConsejo Nacional de Ciencia, Tecnología e Innovación Tecnológica - ConcytecengElsevierJournal of Differential Equationsinfo:eu-repo/semantics/openAccesshttps://creativecommons.org/licenses/by-nc-nd/4.0/Reduction of singularitiesHolomorphic foliations-1Analytic classification-1Analytic classification-1https://purl.org/pe-repo/ocde/ford#1.01.02-1On the quasi-ordinary cuspidal foliations in ( C3, 0 )info:eu-repo/semantics/articlereponame:CONCYTEC-Institucionalinstname:Consejo Nacional de Ciencia Tecnología e Innovacióninstacron:CONCYTEC20.500.12390/746oai:repositorio.concytec.gob.pe:20.500.12390/7462024-05-30 15:58:53.465https://creativecommons.org/licenses/by-nc-nd/4.0/info:eu-repo/semantics/openAccesshttp://purl.org/coar/access_right/c_14cbinfo:eu-repo/semantics/closedAccessmetadata only accesshttps://repositorio.concytec.gob.peRepositorio Institucional CONCYTECrepositorio@concytec.gob.pe#PLACEHOLDER_PARENT_METADATA_VALUE##PLACEHOLDER_PARENT_METADATA_VALUE#<Publication xmlns="https://www.openaire.eu/cerif-profile/1.1/" id="0681e1f0-9743-4846-9633-22534bfb88be"> <Type xmlns="https://www.openaire.eu/cerif-profile/vocab/COAR_Publication_Types">http://purl.org/coar/resource_type/c_1843</Type> <Language>eng</Language> <Title>On the quasi-ordinary cuspidal foliations in ( C3, 0 )</Title> <PublishedIn> <Publication> <Title>Journal of Differential Equations</Title> </Publication> </PublishedIn> <PublicationDate>2006</PublicationDate> <DOI>https://doi.org/10.1016/j.jde.2005.09.006</DOI> <SCP-Number>2-s2.0-33646538080</SCP-Number> <Authors> <Author> <DisplayName>Fernández-Sánchez P.</DisplayName> <Person id="rp01907" /> <Affiliation> <OrgUnit> </OrgUnit> </Affiliation> </Author> <Author> <DisplayName>Mozo-Fernández J.</DisplayName> <Person id="rp01906" /> <Affiliation> <OrgUnit> </OrgUnit> </Affiliation> </Author> </Authors> <Editors> </Editors> <Publishers> <Publisher> <DisplayName>Elsevier</DisplayName> <OrgUnit /> </Publisher> </Publishers> <License>https://creativecommons.org/licenses/by-nc-nd/4.0/</License> <Keyword>Reduction of singularities</Keyword> <Keyword>Holomorphic foliations</Keyword> <Keyword>Analytic classification</Keyword> <Keyword>Analytic classification</Keyword> <Abstract>In this paper, we study a class of singularities of codimension 1 holomorphic germs of foliations in (C3, 0), namely those ones having only one separatrix, that is a quasi-ordinary surface, and whose reduction of singularities agrees with the combinatorial desingularization of the separatrix. We show that the analytic classification of these germs can be read in the holonomy of a certain component of the exceptional divisor of the desingularization</Abstract> <Access xmlns="http://purl.org/coar/access_right" > </Access> </Publication> -1
dc.title.none.fl_str_mv On the quasi-ordinary cuspidal foliations in ( C3, 0 )
title On the quasi-ordinary cuspidal foliations in ( C3, 0 )
spellingShingle On the quasi-ordinary cuspidal foliations in ( C3, 0 )
Fernández-Sánchez P.
Reduction of singularities
Holomorphic foliations
Analytic classification
Analytic classification
https://purl.org/pe-repo/ocde/ford#1.01.02
title_short On the quasi-ordinary cuspidal foliations in ( C3, 0 )
title_full On the quasi-ordinary cuspidal foliations in ( C3, 0 )
title_fullStr On the quasi-ordinary cuspidal foliations in ( C3, 0 )
title_full_unstemmed On the quasi-ordinary cuspidal foliations in ( C3, 0 )
title_sort On the quasi-ordinary cuspidal foliations in ( C3, 0 )
author Fernández-Sánchez P.
author_facet Fernández-Sánchez P.
Mozo-Fernández J.
author_role author
author2 Mozo-Fernández J.
author2_role author
dc.contributor.author.fl_str_mv Fernández-Sánchez P.
Mozo-Fernández J.
dc.subject.none.fl_str_mv Reduction of singularities
topic Reduction of singularities
Holomorphic foliations
Analytic classification
Analytic classification
https://purl.org/pe-repo/ocde/ford#1.01.02
dc.subject.es_PE.fl_str_mv Holomorphic foliations
Analytic classification
Analytic classification
dc.subject.ocde.none.fl_str_mv https://purl.org/pe-repo/ocde/ford#1.01.02
description Both authors partially supported by CONCYTEC (Peru) under the research project 551-OAJ (2004), and by Junta de Castilla y León (Spain) under project VA123/04.
publishDate 2006
dc.date.accessioned.none.fl_str_mv 2024-05-30T23:13:38Z
dc.date.available.none.fl_str_mv 2024-05-30T23:13:38Z
dc.date.issued.fl_str_mv 2006
dc.type.none.fl_str_mv info:eu-repo/semantics/article
format article
dc.identifier.uri.none.fl_str_mv https://hdl.handle.net/20.500.12390/746
dc.identifier.doi.none.fl_str_mv https://doi.org/10.1016/j.jde.2005.09.006
dc.identifier.scopus.none.fl_str_mv 2-s2.0-33646538080
url https://hdl.handle.net/20.500.12390/746
https://doi.org/10.1016/j.jde.2005.09.006
identifier_str_mv 2-s2.0-33646538080
dc.language.iso.none.fl_str_mv eng
language eng
dc.relation.ispartof.none.fl_str_mv Journal of Differential Equations
dc.rights.none.fl_str_mv info:eu-repo/semantics/openAccess
dc.rights.uri.none.fl_str_mv https://creativecommons.org/licenses/by-nc-nd/4.0/
eu_rights_str_mv openAccess
rights_invalid_str_mv https://creativecommons.org/licenses/by-nc-nd/4.0/
dc.publisher.none.fl_str_mv Elsevier
publisher.none.fl_str_mv Elsevier
dc.source.none.fl_str_mv reponame:CONCYTEC-Institucional
instname:Consejo Nacional de Ciencia Tecnología e Innovación
instacron:CONCYTEC
instname_str Consejo Nacional de Ciencia Tecnología e Innovación
instacron_str CONCYTEC
institution CONCYTEC
reponame_str CONCYTEC-Institucional
collection CONCYTEC-Institucional
repository.name.fl_str_mv Repositorio Institucional CONCYTEC
repository.mail.fl_str_mv repositorio@concytec.gob.pe
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score 13.448654
On the quasi-ordinary cuspidal foliations in ( C3, 0 )
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La información contenida en este registro es de entera responsabilidad de la institución que gestiona el repositorio institucional donde esta contenido este documento o set de datos. El CONCYTEC no se hace responsable por los contenidos (publicaciones y/o datos) accesibles a través del Repositorio Nacional Digital de Ciencia, Tecnología e Innovación de Acceso Abierto (ALICIA).

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