Bi-Lipschitz G-triviality and Newton polyhedra, G = R, C, K, R-V, C-V, K-V

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dc.contributor.authorCosta, J. C. F. [UNESP]
dc.contributor.authorSaia, M. J.
dc.contributor.authorSoares Junior, C. H.
dc.contributor.institutionUniversidade Estadual Paulista (Unesp)
dc.date.accessioned2014-05-20T14:02:52Z
dc.date.available2014-05-20T14:02:52Z
dc.date.issued2012-01-01
dc.description.abstractIn this work we provide estimates for the bi-Lipschitz G-triviality, G = C or K, for a family of map germs satisfying a Lojasiewicz condition. We work with two cases: the class of weighted homogeneous map germs and the class of non-degenerate map germs with respect to some Newton polyhedron. We also consider the bi-Lipschitz triviality for families of map germs defined on an analytic variety V. We give estimates for the bi-Lipschitz G(V)-triviality where G = R,C or K in the weighted homogeneous case. Here we assume that the map germ and the analytic variety are both weighted homogeneous with respect to the same weights. The method applied in this paper is based in the construction of controlled vector fields in the presence of a suitable Lojasiewicz condition. In the last section of this work we compare our results with other results related to this work showing tables with all estimates that we know, including ours.en
dc.description.affiliationUNESP, IBILCE, Dept Matemat, Sao Jose do Rio Preto, SP, Brazil
dc.description.affiliationUnespUNESP, IBILCE, Dept Matemat, Sao Jose do Rio Preto, SP, Brazil
dc.format.extent29-43
dc.identifierhttp://dx.doi.org/10.1090/conm/569/11248
dc.identifier.citationReal and Complex Singularities. Providence: Amer Mathematical Soc, v. 569, p. 29-43, 2012.
dc.identifier.doi10.1090/conm/569/11248
dc.identifier.issn0271-4132
dc.identifier.urihttp://hdl.handle.net/11449/22147
dc.identifier.wosWOS:000308439300003
dc.language.isoeng
dc.publisherAmer Mathematical Soc
dc.relation.ispartofReal and Complex Singularities
dc.rights.accessRightsAcesso aberto
dc.sourceWeb of Science
dc.subjectbi-Lipschitz determinacyen
dc.subjectNewton filtrationen
dc.subjectcontrolled vector fieldsen
dc.titleBi-Lipschitz G-triviality and Newton polyhedra, G = R, C, K, R-V, C-V, K-Ven
dc.typeTrabalho apresentado em evento
dcterms.licensehttp://www.ams.org/publications/authors/ctp
dcterms.rightsHolderAmer Mathematical Soc
unesp.campusUniversidade Estadual Paulista (Unesp), Instituto de Biociências Letras e Ciências Exatas, São José do Rio Pretopt

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