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

preprint2022arXivOpen access

Abstract

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

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