Actions of groups of birationally extendible automorphisms
| dc.creator | Huckleberry, Alan | |
| dc.creator | Zaitsev, Dmitri | |
| dc.date | 1995-08-22 | |
| dc.date | 1995-08-30 | |
| dc.date.accessioned | 2026-07-07T08:58:00Z | |
| dc.date.available | 2026-07-07T08:58:00Z | |
| dc.description | We study the actions of a Lie group $G$ by birationally extendible automorphisms on a domain $D\subset C^n$. For a large class of such domains defined by polynomial inequalities, all automorphisms are of this type. In the cases 1) $G$ has finitely many components or 2) the degree of the automorphisms is bounded, we prove that the action of $G$ is projectively linearizable, i.e. there exist a linear representation of $G$ on some $ C^{N+1}$ and a holomorphic $G$-equivariant embedding $i: D\to P^N$, which is a restriction of a rational mapping. As a corollary we obtain as many rational invariant functions as the dimension of generic orbits allows. A hard copy is available from Dmitri.Zaitsev@rz.ruhr-uni-bochum.de | |
| dc.description | 30 pages, AmS-TeX- Version 2.1 (amstex.tex) | |
| dc.identifier | https://arxiv.org/abs/alg-geom/9508010 | |
| dc.identifier | http://arxiv.org/abs/alg-geom/9508010 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/147156 | |
| dc.subject | Algebraic Geometry | |
| dc.subject | Complex Variables | |
| dc.title | Actions of groups of birationally extendible automorphisms | |
| dc.type | text |