OpenAI reports topological triviality for mu-constant surface singularities

Every holomorphic one-parameter family of isolated hypersurface singularities in C^3 with constant Milnor number is topologically right-trivial, by a homeomorphism preserving the parameter, origin section, and defining function.

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Understanding the problem

Read the background

Every holomorphic one-parameter family of isolated hypersurface singularities in C^3 with constant Milnor number is topologically right-trivial, by a homeomorphism preserving the parameter, origin section, and defining function.

Why it matters

If correct, settles the complex surface case of the mu-constant problem and supplies a jointly continuous right trivialization.

What counts as progress

Does constant Milnor number make a one-parameter family of isolated complex surface hypersurface singularities topologically right-trivial?

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