Thread claims GPT-5.6 Sol helped build a new counterexample factory for the Jacobian conjecture

LucaAmb · x · 2026-07-21

A thread claims GPT-5.6 Sol helped turn the Jacobian conjecture discussion into a “counterexample factory.”

It starts from an explicit polynomial map \(F0: \mathbb{C}^3 \to \mathbb{C}^3\) with Jacobian determinant \(-2\).
The author says one more “push” leads to a general construction where denominators cancel and the resulting \(R\) is still a polynomial.
The thread gives parameterized families (with choices of \(m, r, C\), and \(h(A)\)) and claims the generic fiber degree becomes \(r(m+1)+1\).
Several named examples are listed, including nonlinear-divisor branches such as N2, N3, and N4.

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