Relations between the leading terms of a polynomial automorphism
| dc.creator | Bonnet, Philippe | |
| dc.creator | Vénéreau, Stéphane | |
| dc.date | 2008-08-13 | |
| dc.date.accessioned | 2026-07-07T09:56:27Z | |
| dc.date.available | 2026-07-07T09:56:27Z | |
| dc.description | Let $I$ be the ideal of relations between the leading terms of the polynomials defining an automorphism of $K^n$. In this paper, we prove the existence of a locally nilpotent derivation which preserves $I$. Moreover, if $I$ is principal, i.e. $I=(R)$, we compute an upper bound for $°_2(R)$ for some degree function $°_2$ defined by the automorphism. As applications, we determine all the principal ideals of relations for automorphisms of $K^3$ and deduce two elementary proofs of the Jung-van der Kulk Theorem about the tameness of automorphisms of $K^{2}$. | |
| dc.description | 20 pages | |
| dc.identifier | https://arxiv.org/abs/0808.1821 | |
| dc.identifier | http://arxiv.org/abs/0808.1821 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/166980 | |
| dc.subject | Algebraic Geometry | |
| dc.subject | 14R10 | |
| dc.title | Relations between the leading terms of a polynomial automorphism | |
| dc.type | text |