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arXiv · 2609.13843

The classification of some polynomial maps in dimension three

Yuan He·Dan Yan
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Abstract

In the paper, we classify all polynomial maps of the form $H=(u(x,y),\allowbreak v(x,y,z),h(x,y,z))$ in the case that $JH$ is nilpotent and $°_zv\geq 2°_zh$. Then we give the structure of $H=(u(x,y),v(x,y,z),h(x,y,z))$ if $JH$ is nilpotent and $°_zh\leq 3$.

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Yuan He, Dan Yan. 2026-09-12. The classification of some polynomial maps in dimension three. https://arxiv.org/abs/2609.13843

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