Manuscript OpenAI@2026-10-07 · OpenAI.tex · remark · 6a931f8f
Remark: Family 064. The μ -constant problem for surface singularities
Family claims › Algebraic and complex geometry · lines 560–565
OpenAI@2026-10-07#rem:oai-064
Proves topological right-triviality for every holomorphic one-parameter family of isolated hypersurface singularities in with constant Milnor number, resolving the surface case of the -constant problem. After shrinking the parameter disk and representatives, ambient homeomorphisms vary jointly continuously, fix the origin section and preserve the defining functions.
The authors are OpenAI. This companion does not verify the proof. The claim is not a theorem of the Enter series and not a premise of any registered sheet. It does not close O.1. O.1 stays NOT_CLOSED. It is not a de Sitter state and not the QdS external-leg scheme. No quantum coefficient is admitted. No compilation is asserted.
Nearby in this section
- remark: Remark: Family 032. The rational Hodge conjecture for CM abelian varieties
- remark: Remark: Family 033. Campana's orbifold Iitaka conjecture and logarithmic subadditivity
- remark: Remark: Family 034. Log abundance and effective Iitaka fibrations
- remark: Remark: Family 035. Threefold log abundance in numerical dimension one in characteristic p>3
- remark: Remark: Family 036. Numerical semiampleness and generalized minimal models
- remark: Remark: Family 037. The sharp ordinary-double-point volume gap
- remark: Remark: Family 038. Fujita's freeness conjecture
- remark: Remark: Family 039. Nagata's conjecture and maximal Seshadri constants