On Zariski’s multiplicity problem

Comte, Georges; Milman, Pierre; Trotman, David

doi:10.1090/S0002-9939-02-06430-4

On Zariski’s multiplicity problem
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by Georges Comte, Pierre Milman and David Trotman PDF

Proc. Amer. Math. Soc. 130 (2002), 2045-2048 Request permission

Abstract:

We show that to answer affirmatively Zariski’s question concerning the topological invariance of the multiplicity of complex analytic hypersurfaces at isolated singular points, it suffices to prove two combined statements, each of which may be obtained separately.

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