Cl-determinacy of weighted homogeneous germs
Autor(a) principal: | |
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Data de Publicação: | 1997 |
Outros Autores: | |
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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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 |