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arXiv · 1708.07936

Some algorithms related to the Jacobian Conjecture

Jorge A. Guccione·Juan J. Guccione·Rodrigo Horruitiner·Christian Valqui
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Abstract

We describe an algorithm that computes possible corners of hypothetical counterexamples to the Jacobian Conjecture up to a given bound. Using this algorithm we compute the possible families corresponding to $\gcd(deg(P),deg(Q))\le 35$, and all the pairs $(deg(P),deg(Q))$ with $\max(deg(P),deg(Q))\le 150$ for any hypothetical counterexample.

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Jorge A. Guccione, Juan J. Guccione, Rodrigo Horruitiner, Christian Valqui. 2017-08-26. Some algorithms related to the Jacobian Conjecture. https://arxiv.org/abs/1708.07936

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