Some algorithms related to the Jacobian Conjecture

26 Aug 2017  ·  Guccione Jorge A., Guccione Juan J., Horruitiner Rodrigo, Valqui Christian ·

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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Commutative Algebra Algebraic Geometry