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arXiv · 2204.14178

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

Jorge Alberto Guccione·Juan José Guccione·Rodrigo Horruitiner·Christian Valqui
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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.

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Jorge Alberto Guccione, Juan José Guccione, Rodrigo Horruitiner, Christian Valqui. 2022-04-29. Increasing the degree of a possible counterexample to the Jacobian Conjecture from 100 to 108. https://arxiv.org/abs/2204.14178

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