A differential equation for polynomials related to the Jacobian conjecture

Christian Valqui; Jorge Alberto Guccione; Juan Jos\'e Guccione

arxiv: 1310.8249 · v3 · pith:MGN7FONUnew · submitted 2013-10-30 · 🧮 math.RA

A differential equation for polynomials related to the Jacobian conjecture

Christian Valqui , Jorge Alberto Guccione , Juan Jos\'e Guccione This is my paper

classification 🧮 math.RA

keywords conjecturedifferentialequationexistencejacobianabelanalyzecertain

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We analyze a possible minimal counterexample to the Jacobian Conjecture $P,Q$ with $\gcd(deg(P),deg(Q))=16$ and show that its existence depends only on the existence of solutions for a certain Abel differential equation of the second kind.

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A differential equation for polynomials related to the Jacobian conjecture

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