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arXiv · 2304.14675

Integral curves and Jacobian Conjecture

Jean-Yves Charbonnel
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Abstract

In this note, we are interested in the Jacobian Conjecture. Following the results of L.M.~Dru$\dot{\rm z}$kowski, we consider some vector fields depending on a certain \'etale polynomial map. From results of semialgebraic geometry with the consideration of some integral curves of these vector fields, we deduce that an \'etale polynomial endomorphism is a polynomial automorphism.

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Jean-Yves Charbonnel. 2023-04-28. Integral curves and Jacobian Conjecture. https://arxiv.org/abs/2304.14675

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