Some Polynomial Maps with Jacobian Rank Two or Three
We classify all polynomial maps of the form H= (u (x, y,z), v (x, y,z), h (x, y,z)) in the case when the Jacobian matrix of H is nilpotent and the highest degree of z in v is no more than 1. In addition, we generalize the structure of polynomial maps H to H= (H1 (x1, x2, ⋯, xn), b3 x3 +⋯+ bn xn + H2...
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| Format: | Article |
| Language: | English |
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World Scientific
2022
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| Online Access: | View Fulltext in Publisher |
| LEADER | 00962nam a2200169Ia 4500 | ||
|---|---|---|---|
| 001 | 10.1142-S1005386722000268 | ||
| 008 | 220706s2022 CNT 000 0 und d | ||
| 020 | |a 10053867 (ISSN) | ||
| 245 | 1 | 0 | |a Some Polynomial Maps with Jacobian Rank Two or Three |
| 260 | 0 | |b World Scientific |c 2022 | |
| 856 | |z View Fulltext in Publisher |u https://doi.org/10.1142/S1005386722000268 | ||
| 520 | 3 | |a We classify all polynomial maps of the form H= (u (x, y,z), v (x, y,z), h (x, y,z)) in the case when the Jacobian matrix of H is nilpotent and the highest degree of z in v is no more than 1. In addition, we generalize the structure of polynomial maps H to H= (H1 (x1, x2, ⋯, xn), b3 x3 +⋯+ bn xn + H2 (0) (x2), H3 (x1, x2), ., Hn (x1, x2)). © 2022 Academy of Mathematics and Systems Science, Chinese Academy of Sciences. | |
| 650 | 0 | 4 | |a Jacobian conjecture |
| 650 | 0 | 4 | |a nilpotent Jacobian matrix |
| 650 | 0 | 4 | |a polynomial maps |
| 700 | 1 | |a Yan, D. |e author | |
| 773 | |t Algebra Colloquium | ||