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- W2604401350 abstract "We prove that if two germs of irreducible complex analytic curves at $0inmathbb{C}^2$ have different sequence of characteristic exponents, then there exists $0<alpha<1$ such that those germs are not $alpha$-Holder homeomorphic. For germs of complex analytic plane curves with several irreducible components we prove that if any two of them are $alpha$-Holder 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 recovery 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." @default.
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- W2604401350 date "2017-04-03" @default.
- W2604401350 modified "2023-09-27" @default.
- W2604401350 title "Holder equivalence of complex analytic curve singularities" @default.
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