mathematics · algebraic geometry
The characteristic-zero conjecture that every polynomial self-map of affine n-space with nonzero constant Jacobian determinant has a polynomial inverse.
On July 19, 2026, Levent Alpöge publicly announced an explicit three-variable counterexample. This archive preserves an independently shared OpenAI prompt and derivation while keeping the original discovery, prompt provenance, and public-validation status distinct.
Open reference source ↗Attempt ledger
A complete attempt outcome does not automatically change the editorial status of the underlying problem.
An OpenAI task prompt and accompanying derivation give a three-variable polynomial map with constant Jacobian determinant and a three-point fiber, independently reproducing the mechanism behind the newly announced disproof of the Jacobian Conjecture.