Flags of holomorphic foliations

Bibliographic Details
Main Author: Mol,Rogério S.
Publication Date: 2011
Format: Article
Language: eng
Source: Anais da Academia Brasileira de Ciências (Online)
Download full: http://old.scielo.br/scielo.php?script=sci_arttext&pid=S0001-37652011000300003
Summary: A flag of holomorphic foliations on a complex manifold M is an object consisting of a finite number of singular holomorphic foliations on M of growing dimensions such that the tangent sheaf of a fixed foliation is a subsheaf of the tangent sheaf of any of the foliations of higher dimension. We study some basic properties oft hese objects and, in <img src="/img/revistas/aabc/2011nahead/aop2411pcn.jpg" align="absmiddle" />, n > 3, we establish some necessary conditions for a foliation, we find bounds of lower dimension to leave invariant foliations of codimension one. Finally, still in <img src="/img/revistas/aabc/2011nahead/aop2411pcn.jpg" align="absmiddle" /> involving the degrees of polar classes of foliations in a flag.
id ABC-1_519e35a950123950bb44a9103b569b98
oai_identifier_str oai:scielo:S0001-37652011000300003
network_acronym_str ABC-1
network_name_str Anais da Academia Brasileira de Ciências (Online)
repository_id_str
spelling Flags of holomorphic foliationsholomorphic foliationspolar varietiesinvariant varietiesA flag of holomorphic foliations on a complex manifold M is an object consisting of a finite number of singular holomorphic foliations on M of growing dimensions such that the tangent sheaf of a fixed foliation is a subsheaf of the tangent sheaf of any of the foliations of higher dimension. We study some basic properties oft hese objects and, in <img src="/img/revistas/aabc/2011nahead/aop2411pcn.jpg" align="absmiddle" />, n > 3, we establish some necessary conditions for a foliation, we find bounds of lower dimension to leave invariant foliations of codimension one. Finally, still in <img src="/img/revistas/aabc/2011nahead/aop2411pcn.jpg" align="absmiddle" /> involving the degrees of polar classes of foliations in a flag.Academia Brasileira de Ciências2011-09-01info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersiontext/htmlhttp://old.scielo.br/scielo.php?script=sci_arttext&pid=S0001-37652011000300003Anais da Academia Brasileira de Ciências v.83 n.3 2011reponame:Anais da Academia Brasileira de Ciências (Online)instname:Academia Brasileira de Ciências (ABC)instacron:ABC10.1590/S0001-37652011005000025info:eu-repo/semantics/openAccessMol,Rogério S.eng2011-08-15T00:00:00Zoai:scielo:S0001-37652011000300003Revistahttp://www.scielo.br/aabchttps://old.scielo.br/oai/scielo-oai.php||aabc@abc.org.br1678-26900001-3765opendoar:2011-08-15T00:00Anais da Academia Brasileira de Ciências (Online) - Academia Brasileira de Ciências (ABC)false
dc.title.none.fl_str_mv Flags of holomorphic foliations
title Flags of holomorphic foliations
spellingShingle Flags of holomorphic foliations
Mol,Rogério S.
holomorphic foliations
polar varieties
invariant varieties
title_short Flags of holomorphic foliations
title_full Flags of holomorphic foliations
title_fullStr Flags of holomorphic foliations
title_full_unstemmed Flags of holomorphic foliations
title_sort Flags of holomorphic foliations
author Mol,Rogério S.
author_facet Mol,Rogério S.
author_role author
dc.contributor.author.fl_str_mv Mol,Rogério S.
dc.subject.por.fl_str_mv holomorphic foliations
polar varieties
invariant varieties
topic holomorphic foliations
polar varieties
invariant varieties
description A flag of holomorphic foliations on a complex manifold M is an object consisting of a finite number of singular holomorphic foliations on M of growing dimensions such that the tangent sheaf of a fixed foliation is a subsheaf of the tangent sheaf of any of the foliations of higher dimension. We study some basic properties oft hese objects and, in <img src="/img/revistas/aabc/2011nahead/aop2411pcn.jpg" align="absmiddle" />, n > 3, we establish some necessary conditions for a foliation, we find bounds of lower dimension to leave invariant foliations of codimension one. Finally, still in <img src="/img/revistas/aabc/2011nahead/aop2411pcn.jpg" align="absmiddle" /> involving the degrees of polar classes of foliations in a flag.
publishDate 2011
dc.date.none.fl_str_mv 2011-09-01
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=S0001-37652011000300003
url http://old.scielo.br/scielo.php?script=sci_arttext&pid=S0001-37652011000300003
dc.language.iso.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv 10.1590/S0001-37652011005000025
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.83 n.3 2011
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
_version_ 1754302858376773632

Similar Items