On non-Kupka points of codimension one foliations on ℙ3

Detalhes bibliográficos
Autor(a) principal: CALVO-ANDRADE,OMEGAR
Data de Publicação: 2016
Outros Autores: CÔRREA,MAURÍCIO, FERNÁNDEZ-PÉREZ,ARTURO
Tipo de documento: Artigo
Idioma: eng
Título da fonte: Anais da Academia Brasileira de Ciências (Online)
Texto Completo: http://old.scielo.br/scielo.php?script=sci_arttext&pid=S0001-37652016000602067
Resumo: Abstract We study the singular set of a codimension one holomorphic foliation on ℙ 3 . We find a local normal form for these foliations near a codimension two component of the singular set that is not of Kupka type. We also determine the number of non-Kupka points immersed in a codimension two component of the singular set of a codimension one foliation on ℙ 3.
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spelling On non-Kupka points of codimension one foliations on ℙ3holomorphic foliationsKupka setsnon-Kupka pointsAbstract We study the singular set of a codimension one holomorphic foliation on ℙ 3 . We find a local normal form for these foliations near a codimension two component of the singular set that is not of Kupka type. We also determine the number of non-Kupka points immersed in a codimension two component of the singular set of a codimension one foliation on ℙ 3.Academia Brasileira de Ciências2016-12-01info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersiontext/htmlhttp://old.scielo.br/scielo.php?script=sci_arttext&pid=S0001-37652016000602067Anais da Academia Brasileira de Ciências v.88 n.4 2016reponame:Anais da Academia Brasileira de Ciências (Online)instname:Academia Brasileira de Ciências (ABC)instacron:ABC10.1590/0001-3765201620160013info:eu-repo/semantics/openAccessCALVO-ANDRADE,OMEGARCÔRREA,MAURÍCIOFERNÁNDEZ-PÉREZ,ARTUROeng2017-06-12T00:00:00Zoai:scielo:S0001-37652016000602067Revistahttp://www.scielo.br/aabchttps://old.scielo.br/oai/scielo-oai.php||aabc@abc.org.br1678-26900001-3765opendoar:2017-06-12T00:00Anais da Academia Brasileira de Ciências (Online) - Academia Brasileira de Ciências (ABC)false
dc.title.none.fl_str_mv On non-Kupka points of codimension one foliations on ℙ3
title On non-Kupka points of codimension one foliations on ℙ3
spellingShingle On non-Kupka points of codimension one foliations on ℙ3
CALVO-ANDRADE,OMEGAR
holomorphic foliations
Kupka sets
non-Kupka points
title_short On non-Kupka points of codimension one foliations on ℙ3
title_full On non-Kupka points of codimension one foliations on ℙ3
title_fullStr On non-Kupka points of codimension one foliations on ℙ3
title_full_unstemmed On non-Kupka points of codimension one foliations on ℙ3
title_sort On non-Kupka points of codimension one foliations on ℙ3
author CALVO-ANDRADE,OMEGAR
author_facet CALVO-ANDRADE,OMEGAR
CÔRREA,MAURÍCIO
FERNÁNDEZ-PÉREZ,ARTURO
author_role author
author2 CÔRREA,MAURÍCIO
FERNÁNDEZ-PÉREZ,ARTURO
author2_role author
author
dc.contributor.author.fl_str_mv CALVO-ANDRADE,OMEGAR
CÔRREA,MAURÍCIO
FERNÁNDEZ-PÉREZ,ARTURO
dc.subject.por.fl_str_mv holomorphic foliations
Kupka sets
non-Kupka points
topic holomorphic foliations
Kupka sets
non-Kupka points
description Abstract We study the singular set of a codimension one holomorphic foliation on ℙ 3 . We find a local normal form for these foliations near a codimension two component of the singular set that is not of Kupka type. We also determine the number of non-Kupka points immersed in a codimension two component of the singular set of a codimension one foliation on ℙ 3.
publishDate 2016
dc.date.none.fl_str_mv 2016-12-01
dc.type.driver.fl_str_mv info:eu-repo/semantics/article
dc.type.status.fl_str_mv info:eu-repo/semantics/publishedVersion
format article
status_str publishedVersion
dc.identifier.uri.fl_str_mv http://old.scielo.br/scielo.php?script=sci_arttext&pid=S0001-37652016000602067
url http://old.scielo.br/scielo.php?script=sci_arttext&pid=S0001-37652016000602067
dc.language.iso.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv 10.1590/0001-3765201620160013
dc.rights.driver.fl_str_mv info:eu-repo/semantics/openAccess
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv text/html
dc.publisher.none.fl_str_mv Academia Brasileira de Ciências
publisher.none.fl_str_mv Academia Brasileira de Ciências
dc.source.none.fl_str_mv Anais da Academia Brasileira de Ciências v.88 n.4 2016
reponame:Anais da Academia Brasileira de Ciências (Online)
instname:Academia Brasileira de Ciências (ABC)
instacron:ABC
instname_str Academia Brasileira de Ciências (ABC)
instacron_str ABC
institution ABC
reponame_str Anais da Academia Brasileira de Ciências (Online)
collection Anais da Academia Brasileira de Ciências (Online)
repository.name.fl_str_mv Anais da Academia Brasileira de Ciências (Online) - Academia Brasileira de Ciências (ABC)
repository.mail.fl_str_mv ||aabc@abc.org.br
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