H��lder equivalence of complex analytic curve singularities
H��lder equivalence of complex analytic curve singularities
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
12 pages. Minor corrections in Example 4.16
bi-Lipschitz equivalence, Mathematics - Complex Variables, intersection multiplicity, plane curves, characteristic exponents, Singularities in algebraic geometry, Topological aspects of complex singularities: Lefschetz theorems, topological classification, invariants, log-Lipschitz mappings, Hölder equivalence, Mathematics - Algebraic Geometry, FOS: Mathematics, Complex Variables (math.CV), Algebraic Geometry (math.AG), 14B05, 32S50
bi-Lipschitz equivalence, Mathematics - Complex Variables, intersection multiplicity, plane curves, characteristic exponents, Singularities in algebraic geometry, Topological aspects of complex singularities: Lefschetz theorems, topological classification, invariants, log-Lipschitz mappings, Hölder equivalence, Mathematics - Algebraic Geometry, FOS: Mathematics, Complex Variables (math.CV), Algebraic Geometry (math.AG), 14B05, 32S50
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