Some Polynomial Maps with Jacobian Rank Two or Three
| Autor: | Yan, Dan |
|---|---|
| Rok vydání: | 2022 |
| Předmět: |
Mathematics - Algebraic Geometry
Algebra and Number Theory Mathematics::Commutative Algebra Computer Science::Information Retrieval Applied Mathematics FOS: Mathematics Astrophysics::Instrumentation and Methods for Astrophysics Computer Science::General Literature Computer Science::Computation and Language (Computational Linguistics and Natural Language and Speech Processing) Algebraic Geometry (math.AG) |
| Zdroj: | Algebra Colloquium. 29:341-360 |
| ISSN: | 0219-1733 1005-3867 |
| Popis: | In the paper, we first classify all polynomial maps of the form $H=(u(x,y,z),v(x,y,z), h(x,y))$ in the case that $JH$ is nilpotent and $\deg_zv\leq 1$. After that, we generalize the structure of $H$ to $H=\big(H_1(x_1,x_2,\ldots,x_n),\allowbreak b_3x_3+\cdots+b_nx_n+H_2^{(0)}(x_2),H_3(x_1,x_2),\ldots,H_n(x_1,x_2)\big)$. Comment: 24 pages |
| Databáze: | OpenAIRE |
| Externí odkaz: |
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