Cl-determinacy of weighted homogeneous germs

dc.contributorUniversidade de São Paulo (USP)
dc.contributorUniversidade Estadual Paulista (UNESP)
dc.date.accessioned2022-04-28T18:55:01Z
dc.date.accessioned2022-12-20T00:46:14Z
dc.date.available2022-04-28T18:55:01Z
dc.date.available2022-12-20T00:46:14Z
dc.date.created2022-04-28T18:55:01Z
dc.date.issued1997-01-01
dc.identifierHokkaido Mathematical Journal, v. 26, n. 1, p. 89-99, 1997.
dc.identifier0385-4035
dc.identifierhttp://hdl.handle.net/11449/219325
dc.identifier10.14492/hokmj/1351257806
dc.identifier2-s2.0-1042297496
dc.identifier.urihttps://repositorioslatinoamericanos.uchile.cl/handle/2250/5399454
dc.description.abstractWe 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.
dc.languageeng
dc.relationHokkaido Mathematical Journal
dc.sourceScopus
dc.subjectCl-determinacy
dc.subjectControled vector fields
dc.subjectWeighted homogeneous control functions
dc.subjectWeighted homogeneous map-germs
dc.titleCl-determinacy of weighted homogeneous germs
dc.typeArtículos de revistas


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