dc.contributor.author Fernandes, A. dc.contributor.author Sampaio, J.E. dc.contributor.author Silva, J.P. dc.date.accessioned 2018-08-07T22:05:37Z dc.date.available 2018-08-07T22:05:37Z dc.date.issued 2018-08-06 dc.identifier.issn 1469-2120 dc.identifier.uri http://hdl.handle.net/20.500.11824/837 dc.description.abstract We 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. en_US 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. dc.description.sponsorship The first named author was partially supported by CNPq-Brazil grant 304221/2017-1; en_US The third named author was partially supported by CAPES and CNPq-Brazil. dc.format application/pdf en_US dc.language.iso eng en_US dc.rights Reconocimiento-NoComercial-CompartirIgual 3.0 España en_US dc.rights.uri http://creativecommons.org/licenses/by-nc-sa/3.0/es/ en_US dc.title Hölder equivalence of complex analytic curve singularities en_US dc.type info:eu-repo/semantics/article en_US dc.identifier.arxiv 1704.00755 dc.identifier.doi 10.1112/blms.12192 dc.relation.publisherversion https://londmathsoc.onlinelibrary.wiley.com/doi/abs/10.1112/blms.12192 en_US dc.relation.projectID info:eu-repo/grantAgreement/EC/FP7/615655 en_US dc.relation.projectID ES/1PE/SEV-2013-0323 en_US dc.relation.projectID EUS/BERC/BERC.2014-2017 en_US dc.rights.accessRights info:eu-repo/semantics/openAccess en_US dc.type.hasVersion info:eu-repo/semantics/submittedVersion en_US dc.journal.title Bulletin of the London Mathematical Society en_US
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