Irreducibility of the symmetric Yagzhev's maps
| dc.creator | Bakalarski, S. | |
| dc.date | 2007-11-13 | |
| dc.date.accessioned | 2026-07-07T08:42:37Z | |
| dc.date.available | 2026-07-07T08:42:37Z | |
| dc.description | Let $F:\Cn \to \Cn$ be a polynomial mapping in Yagzhev's form,i.e. $$F(x_1,\ld,x_n)=(x_1+H_1(x_1,\ld,x_n),\ld,x_n+H_n(x_1,\ld,x_n)),$$ where $H_i$ are homogenous polynomials of degree 3. In this paper we show that if $\Jac(F) \in \mathbb{C}^*$ and the Jacobian matrix of $F$ is symmetric, then all the polynomials $x_i+H_i(x_1,\ld,x_n)$ are irreducible as elements of the ring $\mathbb{C}[x_1,\ld,x_n]$. | |
| dc.identifier | https://arxiv.org/abs/0711.1956 | |
| dc.identifier | http://arxiv.org/abs/0711.1956 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/142026 | |
| dc.subject | Algebraic Geometry | |
| dc.subject | 14R15 | |
| dc.title | Irreducibility of the symmetric Yagzhev's maps | |
| dc.type | text |