Cl-determinacy of weighted homogeneous germs

Detalhes bibliográficos
Autor(a) principal: Ruas, Maria Aparecida Soares
Data de Publicação: 1997
Outros Autores: Saia, Marcelo JOSÉ [UNESP]
Tipo de documento: Artigo
Idioma: eng
Título da fonte: Repositório Institucional da UNESP
Texto Completo: http://dx.doi.org/10.14492/hokmj/1351257806
http://hdl.handle.net/11449/219325
Resumo: We provide new estimates on the degree of Cl-G-determinacy (G is one of Mather’s groups R, C, or K) of weighted homogeneous map germs satisfying a convenient Lojasiewicz condition. The results give an explicit order such that the Cl geometrical structure of a weighted homogeneous polynomial map-germ is preserved after higher order perturbations. As an application of our results, we use the degree of C1-determinacy and the Newton diagram to obtain equisingular deformations in the Briançon-Speder example. © 1997 by the University of Notre Dame. All rights reserved.
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spelling Cl-determinacy of weighted homogeneous germsCl-determinacyControled vector fieldsWeighted homogeneous control functionsWeighted homogeneous map-germsWe provide new estimates on the degree of Cl-G-determinacy (G is one of Mather’s groups R, C, or K) of weighted homogeneous map germs satisfying a convenient Lojasiewicz condition. The results give an explicit order such that the Cl geometrical structure of a weighted homogeneous polynomial map-germ is preserved after higher order perturbations. As an application of our results, we use the degree of C1-determinacy and the Newton diagram to obtain equisingular deformations in the Briançon-Speder example. © 1997 by the University of Notre Dame. All rights reserved.I.C.M.S.C USP, Caixa Postal 668, São Carlos, SP, 13560-000IGCE - UNESP, Caixa Postal 178, Rio Claro, SP, 13500-230IGCE - UNESP, Caixa Postal 178, Rio Claro, SP, 13500-230Universidade de São Paulo (USP)Universidade Estadual Paulista (UNESP)Ruas, Maria Aparecida SoaresSaia, Marcelo JOSÉ [UNESP]2022-04-28T18:55:01Z2022-04-28T18:55:01Z1997-01-01info:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/article89-99http://dx.doi.org/10.14492/hokmj/1351257806Hokkaido Mathematical Journal, v. 26, n. 1, p. 89-99, 1997.0385-4035http://hdl.handle.net/11449/21932510.14492/hokmj/13512578062-s2.0-1042297496Scopusreponame:Repositório Institucional da UNESPinstname:Universidade Estadual Paulista (UNESP)instacron:UNESPengHokkaido Mathematical Journalinfo:eu-repo/semantics/openAccess2022-04-28T18:55:01Zoai:repositorio.unesp.br:11449/219325Repositório InstitucionalPUBhttp://repositorio.unesp.br/oai/requestopendoar:29462024-08-05T19:58:02.572875Repositório Institucional da UNESP - Universidade Estadual Paulista (UNESP)false
dc.title.none.fl_str_mv Cl-determinacy of weighted homogeneous germs
title Cl-determinacy of weighted homogeneous germs
spellingShingle Cl-determinacy of weighted homogeneous germs
Ruas, Maria Aparecida Soares
Cl-determinacy
Controled vector fields
Weighted homogeneous control functions
Weighted homogeneous map-germs
title_short Cl-determinacy of weighted homogeneous germs
title_full Cl-determinacy of weighted homogeneous germs
title_fullStr Cl-determinacy of weighted homogeneous germs
title_full_unstemmed Cl-determinacy of weighted homogeneous germs
title_sort Cl-determinacy of weighted homogeneous germs
author Ruas, Maria Aparecida Soares
author_facet Ruas, Maria Aparecida Soares
Saia, Marcelo JOSÉ [UNESP]
author_role author
author2 Saia, Marcelo JOSÉ [UNESP]
author2_role author
dc.contributor.none.fl_str_mv Universidade de São Paulo (USP)
Universidade Estadual Paulista (UNESP)
dc.contributor.author.fl_str_mv Ruas, Maria Aparecida Soares
Saia, Marcelo JOSÉ [UNESP]
dc.subject.por.fl_str_mv Cl-determinacy
Controled vector fields
Weighted homogeneous control functions
Weighted homogeneous map-germs
topic Cl-determinacy
Controled vector fields
Weighted homogeneous control functions
Weighted homogeneous map-germs
description We provide new estimates on the degree of Cl-G-determinacy (G is one of Mather’s groups R, C, or K) of weighted homogeneous map germs satisfying a convenient Lojasiewicz condition. The results give an explicit order such that the Cl geometrical structure of a weighted homogeneous polynomial map-germ is preserved after higher order perturbations. As an application of our results, we use the degree of C1-determinacy and the Newton diagram to obtain equisingular deformations in the Briançon-Speder example. © 1997 by the University of Notre Dame. All rights reserved.
publishDate 1997
dc.date.none.fl_str_mv 1997-01-01
2022-04-28T18:55:01Z
2022-04-28T18:55:01Z
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/10.14492/hokmj/1351257806
Hokkaido Mathematical Journal, v. 26, n. 1, p. 89-99, 1997.
0385-4035
http://hdl.handle.net/11449/219325
10.14492/hokmj/1351257806
2-s2.0-1042297496
url http://dx.doi.org/10.14492/hokmj/1351257806
http://hdl.handle.net/11449/219325
identifier_str_mv Hokkaido Mathematical Journal, v. 26, n. 1, p. 89-99, 1997.
0385-4035
10.14492/hokmj/1351257806
2-s2.0-1042297496
dc.language.iso.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv Hokkaido Mathematical Journal
dc.rights.driver.fl_str_mv info:eu-repo/semantics/openAccess
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv 89-99
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
_version_ 1808129143644094464

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