Holomorphic flows in C3, 0 with resonancese

Detalhes bibliográficos
Autor(a) principal: Canille Martins, Julio Cesar [UNESP]
Data de Publicação: 1992
Tipo de documento: Artigo
Idioma: eng
Título da fonte: Repositório Institucional da UNESP
Texto Completo: http://dx.doi.org/10.1090/S0002-9947-1992-1073776-0
http://hdl.handle.net/11449/223892
Resumo: The topological classification, by conjugacy, of the germs of holomorphic diffeomorphisms f: C2, 0 →C2, 0 with df(0) = diag(λ1, λ2), where λ1 is a root of unity and | λ2 | ≠ 1 is given. This type of diffeomorphism appears as holonomies of singular foliations Fx induced by holomorphic vector fields X: C3, 0 → C3, 0 normally hyperbolic and resonant. An explicit example of a such vector field without holomorphic invariant center manifold is presented. We prove that there are no obstructions in the holonomies for Fx to be topologically equivalent to a product type foliation. © 1992 American Mathematical Society.
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spelling Holomorphic flows in C3, 0 with resonanceseThe topological classification, by conjugacy, of the germs of holomorphic diffeomorphisms f: C2, 0 →C2, 0 with df(0) = diag(λ1, λ2), where λ1 is a root of unity and | λ2 | ≠ 1 is given. This type of diffeomorphism appears as holonomies of singular foliations Fx induced by holomorphic vector fields X: C3, 0 → C3, 0 normally hyperbolic and resonant. An explicit example of a such vector field without holomorphic invariant center manifold is presented. We prove that there are no obstructions in the holonomies for Fx to be topologically equivalent to a product type foliation. © 1992 American Mathematical Society.UNESP IBLCE Departamento de Matemática Rua Cristovào Colombo, São José do Rio Preto(sp), 15.100, 2245UNESP IBLCE Departamento de Matemática Rua Cristovào Colombo, São José do Rio Preto(sp), 15.100, 2245Universidade Estadual Paulista (UNESP)Canille Martins, Julio Cesar [UNESP]2022-04-28T19:53:33Z2022-04-28T19:53:33Z1992-01-01info:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/article825-837http://dx.doi.org/10.1090/S0002-9947-1992-1073776-0Transactions of the American Mathematical Society, v. 329, n. 2, p. 825-837, 1992.0002-9947http://hdl.handle.net/11449/22389210.1090/S0002-9947-1992-1073776-02-s2.0-0012269754Scopusreponame:Repositório Institucional da UNESPinstname:Universidade Estadual Paulista (UNESP)instacron:UNESPengTransactions of the American Mathematical Societyinfo:eu-repo/semantics/openAccess2022-04-28T19:53:33Zoai:repositorio.unesp.br:11449/223892Repositório InstitucionalPUBhttp://repositorio.unesp.br/oai/requestopendoar:29462024-08-05T23:47:26.976080Repositório Institucional da UNESP - Universidade Estadual Paulista (UNESP)false
dc.title.none.fl_str_mv Holomorphic flows in C3, 0 with resonancese
title Holomorphic flows in C3, 0 with resonancese
spellingShingle Holomorphic flows in C3, 0 with resonancese
Canille Martins, Julio Cesar [UNESP]
title_short Holomorphic flows in C3, 0 with resonancese
title_full Holomorphic flows in C3, 0 with resonancese
title_fullStr Holomorphic flows in C3, 0 with resonancese
title_full_unstemmed Holomorphic flows in C3, 0 with resonancese
title_sort Holomorphic flows in C3, 0 with resonancese
author Canille Martins, Julio Cesar [UNESP]
author_facet Canille Martins, Julio Cesar [UNESP]
author_role author
dc.contributor.none.fl_str_mv Universidade Estadual Paulista (UNESP)
dc.contributor.author.fl_str_mv Canille Martins, Julio Cesar [UNESP]
description The topological classification, by conjugacy, of the germs of holomorphic diffeomorphisms f: C2, 0 →C2, 0 with df(0) = diag(λ1, λ2), where λ1 is a root of unity and | λ2 | ≠ 1 is given. This type of diffeomorphism appears as holonomies of singular foliations Fx induced by holomorphic vector fields X: C3, 0 → C3, 0 normally hyperbolic and resonant. An explicit example of a such vector field without holomorphic invariant center manifold is presented. We prove that there are no obstructions in the holonomies for Fx to be topologically equivalent to a product type foliation. © 1992 American Mathematical Society.
publishDate 1992
dc.date.none.fl_str_mv 1992-01-01
2022-04-28T19:53:33Z
2022-04-28T19:53:33Z
dc.type.status.fl_str_mv info:eu-repo/semantics/publishedVersion
dc.type.driver.fl_str_mv info:eu-repo/semantics/article
format article
status_str publishedVersion
dc.identifier.uri.fl_str_mv http://dx.doi.org/10.1090/S0002-9947-1992-1073776-0
Transactions of the American Mathematical Society, v. 329, n. 2, p. 825-837, 1992.
0002-9947
http://hdl.handle.net/11449/223892
10.1090/S0002-9947-1992-1073776-0
2-s2.0-0012269754
url http://dx.doi.org/10.1090/S0002-9947-1992-1073776-0
http://hdl.handle.net/11449/223892
identifier_str_mv Transactions of the American Mathematical Society, v. 329, n. 2, p. 825-837, 1992.
0002-9947
10.1090/S0002-9947-1992-1073776-0
2-s2.0-0012269754
dc.language.iso.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv Transactions of the American Mathematical Society
dc.rights.driver.fl_str_mv info:eu-repo/semantics/openAccess
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv 825-837
dc.source.none.fl_str_mv Scopus
reponame:Repositório Institucional da UNESP
instname:Universidade Estadual Paulista (UNESP)
instacron:UNESP
instname_str Universidade Estadual Paulista (UNESP)
instacron_str UNESP
institution UNESP
reponame_str Repositório Institucional da UNESP
collection Repositório Institucional da UNESP
repository.name.fl_str_mv Repositório Institucional da UNESP - Universidade Estadual Paulista (UNESP)
repository.mail.fl_str_mv
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