Increasing the degree of a possible counterexample to the Jacobian Conjecture from 100 to 108

TL;DR

This paper narrows down the possible degrees of counterexamples to the plane Jacobian Conjecture, eliminating all but one specific pair and raising the known lower bound from 100 to 108.

Contribution

It systematically rules out all degree pairs below 125 except one, improving the lower bound for potential counterexamples to the Jacobian Conjecture.

Findings

All degree pairs with max less than 125 are discarded except (72,108) and its symmetric.

Confirmed the lower bound of 100 for counterexample degrees.

Raised the lower bound to 108 for possible counterexamples.

Abstract

We list all the pairs $(deg(P),deg(Q))$ with $\max\{deg(P),deg(Q)\}< 125$ for any hypothetical counterexample to the plane Jacobian Conjecture and discard them all, except the pair $(72,108)$ (and the symmetric pair $(108,72)$), thus we confirm the lower bound of 100 obtained by Moh and raise it up to 108.