Zhuofei Wei

WITHDRAWN: A One-Parameter Family of Jacobian Counterexamples Deforming the July 2026 Counterexample

WITHDRAWN (2026-08-21) This note is withdrawn. A reader pointed out, and we have independentlyconfirmed by exact symbolic computation, that the family G(tau) isisotrivial: with s = 1 - 3*tau and J = (J1,J2,J3) denoting the July 2026counterexample, the componentwise identity G(tau...

A One-Parameter Family of Jacobian Counterexamples Deforming the July 2026 Counterexample

Companion material for the preprint: PDF (7 pages), HTML source, and a self-contained SymPy verification script (Appendix A of the paper). The preprint exhibits an explicit family G(τ): ℂ³ → ℂ³ of polynomial maps with det Jac G(τ) = −2(1−3τ)², non-injective for every τ ≠ 1/3 (thr...