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arXiv · 2401.12523

On polynomial automorphisms of Nagata type

Jorge A. C. Huarcaya·Joe Palacios
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Abstract

We define a family of polynomial ring homomorphisms generalizing the well-known Nagata automorphism. We establish necessary and sufficient conditions under which these homomorphisms are automorphisms, and verify that they satisfy the Jacobian conjecture. Additionally, we provide a necessary condition within this family to obtain wild automorphisms, and independently derive a property related to the upper semicontinuity of the {\L}ojasiewicz exponent at infinity.

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Jorge A. C. Huarcaya, Joe Palacios. 2024-01-23. On polynomial automorphisms of Nagata type. https://arxiv.org/abs/2401.12523

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