Manuscript OpenAI@2026-10-07 · OpenAI.tex · remark · 6a931f8f

Remark: 059-02. Ambiently homeomorphic isolated hypersurface germs in ℂ⁴ with multiplicities four and five

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OpenAI@2026-10-07#rem:oai-p-059-02

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Authors: OpenAI. Family 059.

Title: Ambiently homeomorphic isolated hypersurface germs in ℂ⁴ with multiplicities four and five.

Abstract: We give a negative answer to Zariski's multiplicity question in four complex variables. We construct two reduced convergent holomorphic function germs with isolated critical points and multiplicities four and five whose zero-set germs are ambiently homeomorphic.

This abstract is a catalogue record. It is not a verification and not a premise. It does not close O.1. O.1 stays NOT_CLOSED. No quantum coefficient is admitted. No compilation is asserted.

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