The da Silva Machado-Seade Conjecture
Prior state unknown→proved
an independent human proof of the same conjecture appeared the same week
SourceReplayReproducedFormal proofStatement auditExternal checkExpert reviewPeer review
geometry-topology / Singularity theory
The da Silva Machado-Seade Conjecture
da Silva Machado and Seade conjectured that weighted homogeneous isolated hypersurface singularities are exactly those admitting a logarithmic vector field transverse to the link. True: for a reduced isolated hypersurface germ in $\mathbb{C}^{n+1}$ with $n \ge 2$, or $n = 1$ and the germ irreducible, the criterion holds.
15Significance / 100
1Frontier events
0Verification tasks
0Recorded attempts
Temporal state
Current frontier
No reconciled state yet.
Append-only history
Frontier timeline
Research memory
Claims and attempts
Scoped claims
da Silva Machado and Seade conjectured that weighted homogeneous isolated hypersurface singularities are exactly those admitting a logarithmic vector field transverse to the link. True: for a reduced isolated hypersurface germ in $\mathbb{C}^{n+1}$ with $n \ge 2$, or $n = 1$ and the germ irreducible, the criterion holds.
an independent human proof of the same conjecture appeared the same week
Recorded attempts
Evidence graph
Connected research record
No public relationships recorded yet.