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Mathematical Physics (MP)
Singularity Theory and Algebraic Geometry
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Mathematical Physics (MP)
Singularity Theory and Algebraic Geometry
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Multiplicity of singularities is not a bi-Lipschitz invariant
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ambient-lipschitz.pdf (254.4Kb)
Date
2020-01-17
Birbrair, L.
;
Fernandes, A.
;
Sampaio, J.E.
;
Verbitsky, M.
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Abstract
It was conjectured that multiplicity of a singularity is bi-Lipschitz invariant. We disprove this conjecture constructing examples of bi-Lipschitz equivalent complex algebraic singularities with different values of multiplicity.
URI
http://hdl.handle.net/20.500.11824/1071
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Singularity Theory and Algebraic Geometry
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