Invariants of germs of analytic differential equations in the complex plane

Detalhes bibliográficos
Autor(a) principal: Câmara,Leonardo M.
Data de Publicação: 2005
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=S0001-37652005000100001
Resumo: We study the classification of germs of differential equations in the complex plane giving a complete set of analytic invariants determining the analytic type of the underlying foliation. In particular we answer in affirmative a conjecture of S. Voronin, and generalize some previous results about dicritical singularities in a straightforward manner. Such problem has its origins in a conjecture proposed by R. Thom in the mid-1970s.
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spelling Invariants of germs of analytic differential equations in the complex planeSingular foliationsresolution of singularitiesholonomynonabelian cohomologyWe study the classification of germs of differential equations in the complex plane giving a complete set of analytic invariants determining the analytic type of the underlying foliation. In particular we answer in affirmative a conjecture of S. Voronin, and generalize some previous results about dicritical singularities in a straightforward manner. Such problem has its origins in a conjecture proposed by R. Thom in the mid-1970s.Academia Brasileira de Ciências2005-03-01info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersiontext/htmlhttp://old.scielo.br/scielo.php?script=sci_arttext&pid=S0001-37652005000100001Anais da Academia Brasileira de Ciências v.77 n.1 2005reponame:Anais da Academia Brasileira de Ciências (Online)instname:Academia Brasileira de Ciências (ABC)instacron:ABC10.1590/S0001-37652005000100001info:eu-repo/semantics/openAccessCâmara,Leonardo M.eng2005-02-02T00:00:00Zoai:scielo:S0001-37652005000100001Revistahttp://www.scielo.br/aabchttps://old.scielo.br/oai/scielo-oai.php||aabc@abc.org.br1678-26900001-3765opendoar:2005-02-02T00:00Anais da Academia Brasileira de Ciências (Online) - Academia Brasileira de Ciências (ABC)false
dc.title.none.fl_str_mv Invariants of germs of analytic differential equations in the complex plane
title Invariants of germs of analytic differential equations in the complex plane
spellingShingle Invariants of germs of analytic differential equations in the complex plane
Câmara,Leonardo M.
Singular foliations
resolution of singularities
holonomy
nonabelian cohomology
title_short Invariants of germs of analytic differential equations in the complex plane
title_full Invariants of germs of analytic differential equations in the complex plane
title_fullStr Invariants of germs of analytic differential equations in the complex plane
title_full_unstemmed Invariants of germs of analytic differential equations in the complex plane
title_sort Invariants of germs of analytic differential equations in the complex plane
author Câmara,Leonardo M.
author_facet Câmara,Leonardo M.
author_role author
dc.contributor.author.fl_str_mv Câmara,Leonardo M.
dc.subject.por.fl_str_mv Singular foliations
resolution of singularities
holonomy
nonabelian cohomology
topic Singular foliations
resolution of singularities
holonomy
nonabelian cohomology
description We study the classification of germs of differential equations in the complex plane giving a complete set of analytic invariants determining the analytic type of the underlying foliation. In particular we answer in affirmative a conjecture of S. Voronin, and generalize some previous results about dicritical singularities in a straightforward manner. Such problem has its origins in a conjecture proposed by R. Thom in the mid-1970s.
publishDate 2005
dc.date.none.fl_str_mv 2005-03-01
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=S0001-37652005000100001
url http://old.scielo.br/scielo.php?script=sci_arttext&pid=S0001-37652005000100001
dc.language.iso.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv 10.1590/S0001-37652005000100001
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.77 n.1 2005
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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