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arXiv:1708.07936 [math.AC]AbstractReferencesReviewsResources

Some algorithms related to the Jacobian Conjecture

Jorge A. Guccione, Juan J. Guccione, Rodrigo Horruitiner, Christian Valqui

Published 2017-08-26Version 1

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.

Comments: 29 pages, 6 tables, 9 algorithms
Categories: math.AC, math.AG
Subjects: 14R15, 13F20
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