Foliations with persistent singularities

Autores
Massri, Cesar Dario; Molinuevo, Ariel; Quallbrunn, Federico
Año de publicación
2021
Idioma
inglés
Tipo de recurso
artículo
Estado
versión publicada
Descripción
Let ω be a differential q-form defining a foliation of codimension q in a projective variety. In this article we study the singular locus of ω in various settings. We relate a certain type of singularities, which we name persistent, with the unfoldings of ω, generalizing previous work done on foliations of codimension 1 in projective space. We also relate the absence of persistent singularities with the existence of a connection in the sheaf of 1-forms defining the foliation.
Fil: Massri, Cesar Dario. Consejo Nacional de Investigaciones Científicas y Técnicas. Oficina de Coordinación Administrativa Ciudad Universitaria. Instituto de Investigaciones Matemáticas "Luis A. Santaló". Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales. Instituto de Investigaciones Matemáticas "Luis A. Santaló"; Argentina
Fil: Molinuevo, Ariel. Universidade Federal do Rio de Janeiro; Brasil
Fil: Quallbrunn, Federico. Consejo Nacional de Investigaciones Científicas y Técnicas; Argentina
Materia
KUPKA
UNFOLDING IDEAL
MODULI SPACE
DIFFERENTIAL FORMS
Nivel de accesibilidad
acceso abierto
Condiciones de uso
https://creativecommons.org/licenses/by-nc-nd/2.5/ar/
Repositorio
CONICET Digital (CONICET)
Institución
Consejo Nacional de Investigaciones Científicas y Técnicas
OAI Identificador
oai:ri.conicet.gov.ar:11336/136892
Acceder
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repository_id_str 3498
network_name_str CONICET Digital (CONICET)
spelling Foliations with persistent singularitiesMassri, Cesar DarioMolinuevo, ArielQuallbrunn, FedericoKUPKAUNFOLDING IDEALMODULI SPACEDIFFERENTIAL FORMShttps://purl.org/becyt/ford/1.1https://purl.org/becyt/ford/1Let ω be a differential q-form defining a foliation of codimension q in a projective variety. In this article we study the singular locus of ω in various settings. We relate a certain type of singularities, which we name persistent, with the unfoldings of ω, generalizing previous work done on foliations of codimension 1 in projective space. We also relate the absence of persistent singularities with the existence of a connection in the sheaf of 1-forms defining the foliation.Fil: Massri, Cesar Dario. Consejo Nacional de Investigaciones Científicas y Técnicas. Oficina de Coordinación Administrativa Ciudad Universitaria. Instituto de Investigaciones Matemáticas "Luis A. Santaló". Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales. Instituto de Investigaciones Matemáticas "Luis A. Santaló"; ArgentinaFil: Molinuevo, Ariel. Universidade Federal do Rio de Janeiro; BrasilFil: Quallbrunn, Federico. Consejo Nacional de Investigaciones Científicas y Técnicas; ArgentinaElsevier Science2021-06info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionhttp://purl.org/coar/resource_type/c_6501info:ar-repo/semantics/articuloapplication/pdfapplication/pdfapplication/pdfhttp://hdl.handle.net/11336/136892Massri, Cesar Dario; Molinuevo, Ariel; Quallbrunn, Federico; Foliations with persistent singularities; Elsevier Science; Journal Of Pure And Applied Algebra; 225; 6; 6-2021; 1-230022-4049CONICET DigitalCONICETenginfo:eu-repo/semantics/altIdentifier/url/https://www.sciencedirect.com/science/article/abs/pii/S0022404920303315?via%3Dihubinfo:eu-repo/semantics/altIdentifier/doi/10.1016/j.jpaa.2020.106630info:eu-repo/semantics/altIdentifier/arxiv/https://arxiv.org/abs/1909.00724info:eu-repo/semantics/openAccesshttps://creativecommons.org/licenses/by-nc-nd/2.5/ar/reponame:CONICET Digital (CONICET)instname:Consejo Nacional de Investigaciones Científicas y Técnicas2025-09-29T10:39:57Zoai:ri.conicet.gov.ar:11336/136892instacron:CONICETInstitucionalhttp://ri.conicet.gov.ar/Organismo científico-tecnológicoNo correspondehttp://ri.conicet.gov.ar/oai/requestdasensio@conicet.gov.ar; lcarlino@conicet.gov.arArgentinaNo correspondeNo correspondeNo correspondeopendoar:34982025-09-29 10:39:57.983CONICET Digital (CONICET) - Consejo Nacional de Investigaciones Científicas y Técnicasfalse
dc.title.none.fl_str_mv Foliations with persistent singularities
title Foliations with persistent singularities
spellingShingle Foliations with persistent singularities
Massri, Cesar Dario
KUPKA
UNFOLDING IDEAL
MODULI SPACE
DIFFERENTIAL FORMS
title_short Foliations with persistent singularities
title_full Foliations with persistent singularities
title_fullStr Foliations with persistent singularities
title_full_unstemmed Foliations with persistent singularities
title_sort Foliations with persistent singularities
dc.creator.none.fl_str_mv Massri, Cesar Dario
Molinuevo, Ariel
Quallbrunn, Federico
author Massri, Cesar Dario
author_facet Massri, Cesar Dario
Molinuevo, Ariel
Quallbrunn, Federico
author_role author
author2 Molinuevo, Ariel
Quallbrunn, Federico
author2_role author
author
dc.subject.none.fl_str_mv KUPKA
UNFOLDING IDEAL
MODULI SPACE
DIFFERENTIAL FORMS
topic KUPKA
UNFOLDING IDEAL
MODULI SPACE
DIFFERENTIAL FORMS
purl_subject.fl_str_mv https://purl.org/becyt/ford/1.1
https://purl.org/becyt/ford/1
dc.description.none.fl_txt_mv Let ω be a differential q-form defining a foliation of codimension q in a projective variety. In this article we study the singular locus of ω in various settings. We relate a certain type of singularities, which we name persistent, with the unfoldings of ω, generalizing previous work done on foliations of codimension 1 in projective space. We also relate the absence of persistent singularities with the existence of a connection in the sheaf of 1-forms defining the foliation.
Fil: Massri, Cesar Dario. Consejo Nacional de Investigaciones Científicas y Técnicas. Oficina de Coordinación Administrativa Ciudad Universitaria. Instituto de Investigaciones Matemáticas "Luis A. Santaló". Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales. Instituto de Investigaciones Matemáticas "Luis A. Santaló"; Argentina
Fil: Molinuevo, Ariel. Universidade Federal do Rio de Janeiro; Brasil
Fil: Quallbrunn, Federico. Consejo Nacional de Investigaciones Científicas y Técnicas; Argentina
description Let ω be a differential q-form defining a foliation of codimension q in a projective variety. In this article we study the singular locus of ω in various settings. We relate a certain type of singularities, which we name persistent, with the unfoldings of ω, generalizing previous work done on foliations of codimension 1 in projective space. We also relate the absence of persistent singularities with the existence of a connection in the sheaf of 1-forms defining the foliation.
publishDate 2021
dc.date.none.fl_str_mv 2021-06
dc.type.none.fl_str_mv info:eu-repo/semantics/article
info:eu-repo/semantics/publishedVersion
http://purl.org/coar/resource_type/c_6501
info:ar-repo/semantics/articulo
format article
status_str publishedVersion
dc.identifier.none.fl_str_mv http://hdl.handle.net/11336/136892
Massri, Cesar Dario; Molinuevo, Ariel; Quallbrunn, Federico; Foliations with persistent singularities; Elsevier Science; Journal Of Pure And Applied Algebra; 225; 6; 6-2021; 1-23
0022-4049
CONICET Digital
CONICET
url http://hdl.handle.net/11336/136892
identifier_str_mv Massri, Cesar Dario; Molinuevo, Ariel; Quallbrunn, Federico; Foliations with persistent singularities; Elsevier Science; Journal Of Pure And Applied Algebra; 225; 6; 6-2021; 1-23
0022-4049
CONICET Digital
CONICET
dc.language.none.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv info:eu-repo/semantics/altIdentifier/url/https://www.sciencedirect.com/science/article/abs/pii/S0022404920303315?via%3Dihub
info:eu-repo/semantics/altIdentifier/doi/10.1016/j.jpaa.2020.106630
info:eu-repo/semantics/altIdentifier/arxiv/https://arxiv.org/abs/1909.00724
dc.rights.none.fl_str_mv info:eu-repo/semantics/openAccess
https://creativecommons.org/licenses/by-nc-nd/2.5/ar/
eu_rights_str_mv openAccess
rights_invalid_str_mv https://creativecommons.org/licenses/by-nc-nd/2.5/ar/
dc.format.none.fl_str_mv application/pdf
application/pdf
application/pdf
dc.publisher.none.fl_str_mv Elsevier Science
publisher.none.fl_str_mv Elsevier Science
dc.source.none.fl_str_mv reponame:CONICET Digital (CONICET)
instname:Consejo Nacional de Investigaciones Científicas y Técnicas
reponame_str CONICET Digital (CONICET)
collection CONICET Digital (CONICET)
instname_str Consejo Nacional de Investigaciones Científicas y Técnicas
repository.name.fl_str_mv CONICET Digital (CONICET) - Consejo Nacional de Investigaciones Científicas y Técnicas
repository.mail.fl_str_mv dasensio@conicet.gov.ar; lcarlino@conicet.gov.ar
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score 13.070432

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