{"id":"openai-math/Topological-triviality-of-mu-constant-families-of-surface-singularities","pdf":"https://github.com/openai/math/blob/main/preprints/Topological-triviality-of-mu-constant-families-of-surface-singularities-September-24-2026/main.pdf","url":"https://github.com/openai/math/tree/main/preprints/Topological-triviality-of-mu-constant-families-of-surface-singularities-September-24-2026","tags":["algebraic-geometry","singularities","milnor-number"],"score":0,"title":"Topological triviality of mu-constant families of surface singularities","domain":"Algebraic and complex geometry","family":"064","origin":"ai-generated","source":"openai-math","authors":["OpenAI"],"reviews":0,"subject":"math.AG","summary":"We prove that every holomorphic one-parameter family of isolated hypersurface singularities in ℂ 3 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.","category":"research","comments":0,"disputed":false,"division":"math","mentions":0,"discussed":0,"published":"2026-09-24","reactions":{},"formalized":false,"family_title":"Topological triviality of μ -constant surface singularities"}