Topological triviality of mu-constant families of surface singularities
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.
Cite
@misc{OAI:Topological-triviality-of-mu-constant-families-of-surface-singularities-September-24-2026,
author = {{OpenAI}},
title = {{Topological triviality of $\mu$-constant families of surface singularities}},
howpublished = {OpenAI Math Release preprint
\href{https://github.com/openai/math/blob/main/preprints/Topological-triviality-of-mu-constant-families-of-surface-singularities-September-24-2026/main.pdf}{OAI:Topological-triviality-of-mu-constant-families-of-surface-singularities-September-24-2026}},
year = {2026}
}