Dimension of automorphisms with fixed degree for polynomial algebras
| dc.creator | Drensky, Vesselin | |
| dc.creator | Yu, Jie-Tai | |
| dc.date | 2008-06-25 | |
| dc.date | 2008-07-07 | |
| dc.date.accessioned | 2026-07-07T09:48:26Z | |
| dc.date.available | 2026-07-07T09:48:26Z | |
| dc.description | Let $K[x,y]$ be the polynomial algebra in two variables over an algebraically closed field $K$. We generalize to the case of any characteristic the result of Furter that over a field of characteristic zero the set of automorphisms $(f,g)$ of $K[x,y]$ such that $\max\{\text{deg}(f),\text{deg}(g)\}=n\geq 2$ is constructible with dimension $n+6$. The same result holds for the automorphisms of the free associative algebra $K< x,y>$. We have also obtained analogues for free algebras with two generators in Nielsen -- Schreier varieties of algebras. | |
| dc.description | 10 pages | |
| dc.identifier | https://arxiv.org/abs/0806.4152 | |
| dc.identifier | http://arxiv.org/abs/0806.4152 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/164216 | |
| dc.subject | Algebraic Geometry | |
| dc.subject | Commutative Algebra | |
| dc.subject | 13B25; 16S10; 17A50 | |
| dc.title | Dimension of automorphisms with fixed degree for polynomial algebras | |
| dc.type | text |