Jacobian Conjecture
Prior state unknown→disproved
n ≥ 3; plane case open
SourceReplayReproducedFormal proofStatement auditExternal checkExpert reviewPeer review
algebra / Algebraic Geometry
Jacobian Conjecture
Every polynomial map $\mathbb{C}^n \to \mathbb{C}^n$ with constant nonzero Jacobian determinant is invertible, with a polynomial inverse.
65Significance / 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
Every polynomial map $\mathbb{C}^n \to \mathbb{C}^n$ with constant nonzero Jacobian determinant is invertible, with a polynomial inverse.
n ≥ 3; plane case open
Recorded attempts
Evidence graph
Connected research record
No public relationships recorded yet.