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dc.contributor.authorFernandes, A.
dc.contributor.authorSampaio, J.E.
dc.contributor.authorSilva, J.P.
dc.date.accessioned2018-08-07T22:05:37Z
dc.date.available2018-08-07T22:05:37Z
dc.date.issued2018-08-06
dc.identifier.issn1469-2120
dc.identifier.urihttp://hdl.handle.net/20.500.11824/837
dc.description.abstractWe prove that if two germs of irreducible complex analytic curves at $0\in\mathbb{C}^2$ have different sequence of characteristic exponents, then there exists $0<\alpha<1$ such that those germs are not $\alpha$-H\"older homeomorphic. For germs of complex analytic plane curves with several irreducible components we prove that if any two of them are $\alpha$-H\"older homeomorphic, for all $0<\alpha<1$, then there is a correspondence between their branches preserving sequence of characteristic exponents and intersection multiplicity of pair of branches. In particular, we recover the sequence of characteristic exponents of the branches and intersection multiplicity of pair of branches are Lipschitz invariant of germs of complex analytic plane curves.en_US
dc.description.sponsorshipThe first named author was partially supported by CNPq-Brazil grant 304221/2017-1; The third named author was partially supported by CAPES and CNPq-Brazil.en_US
dc.formatapplication/pdfen_US
dc.language.isoengen_US
dc.rightsReconocimiento-NoComercial-CompartirIgual 3.0 Españaen_US
dc.rights.urihttp://creativecommons.org/licenses/by-nc-sa/3.0/es/en_US
dc.titleHölder equivalence of complex analytic curve singularitiesen_US
dc.typeinfo:eu-repo/semantics/articleen_US
dc.identifier.arxiv1704.00755
dc.identifier.doi10.1112/blms.12192
dc.relation.publisherversionhttps://londmathsoc.onlinelibrary.wiley.com/doi/abs/10.1112/blms.12192en_US
dc.relation.projectIDinfo:eu-repo/grantAgreement/EC/FP7/615655en_US
dc.relation.projectIDES/1PE/SEV-2013-0323en_US
dc.relation.projectIDEUS/BERC/BERC.2014-2017en_US
dc.rights.accessRightsinfo:eu-repo/semantics/openAccessen_US
dc.type.hasVersioninfo:eu-repo/semantics/submittedVersionen_US
dc.journal.titleBulletin of the London Mathematical Societyen_US


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