Two reduced weighted-homogeneous complex hypersurface germs with isolated singularities are ambiently homeomorphic but have multiplicities two and three.
Two reduced weighted-homogeneous complex hypersurface germs with isolated singularities are ambiently homeomorphic but have multiplicities two and three. They lie in one finite complex ambient dimension divisible by eight.
Two reduced weighted-homogeneous complex hypersurface germs with isolated singularities are ambiently homeomorphic but have multiplicities two and three. They lie in one finite complex ambient dimension divisible by eight.
If correct, gives a negative answer to Zariski’s embedded multiplicity conjecture even for isolated hypersurface singularities.
Does the embedded topology of an isolated complex hypersurface singularity determine its multiplicity?
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OpenAI reports an embedded Zariski multiplicity counterexample
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