Manuscript OpenAI@2026-10-07 · OpenAI.tex · remark · 6a931f8f
Remark: 064-01. Topological triviality of mu-constant families of surface singularities
Manuscript map · lines 3745–3754
OpenAI@2026-10-07#rem:oai-p-064-01
Authors: OpenAI. Family 064.
Title: Topological triviality of mu-constant families of surface singularities.
Abstract: We prove that every holomorphic one-parameter family of isolated hypersurface singularities in ℂ3 with constant Milnor number is topologically right-trivial. This gives a positive answer to the surface case of the μ-constant problem. The trivialization fixes the parameter and the origin section, and preserves the defining functions.
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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