PreprintCC BY-NC-SA 4.0arXiv
The classification of some polynomial maps in dimension three
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≥ 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≤ 3.
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BibTeX
@misc{he2026classification,
title = {{The classification of some polynomial maps in dimension three}},
author = {Yuan He and Dan Yan},
howpublished = {arXiv},
year = {2026},
month = sep,
doi = {10.48550/arxiv.2609.13843},
eprint = {2609.13843},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2609.13843},
note = {CC BY-NC-SA 4.0},
}
RIS
TY - UNPB
TI - The classification of some polynomial maps in dimension three
AU - Yuan He
AU - Dan Yan
PY - 2026
DA - 2026/09/12
PB - arXiv
DO - 10.48550/arxiv.2609.13843
UR - https://arxiv.org/abs/2609.13843
AB - 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≥ 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≤ 3.
ER -