Algebraic density property of homogeneous spaces
| dc.creator | Donzelli, Fabrizio | |
| dc.creator | Dvorsky, Alexander | |
| dc.creator | Kaliman, Shulim | |
| dc.date | 2008-06-11 | |
| dc.date | 2009-02-04 | |
| dc.date.accessioned | 2026-07-07T12:37:09Z | |
| dc.date.available | 2026-07-07T12:37:09Z | |
| dc.description | Let $X$ be an affine algebraic variety with a transitive action of the algebraic automorphism group. Suppose that $X$ is equipped with several non-degenerate fixed point free $SL_2$-actions satisfying some mild additional assumption. Then we show that the Lie algebra generated by completely integrable algebraic vector fields on $X$ coincides with the set of all algebraic vector fields. In particular, we show that apart from a few exceptions this fact is true for any homogeneous space of form $G/R$ where $G$ is a linear algebraic group and $R$ is its proper reductive subgroup. | |
| dc.description | 26 pages | |
| dc.identifier | https://arxiv.org/abs/0806.1935 | |
| dc.identifier | http://arxiv.org/abs/0806.1935 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/218338 | |
| dc.subject | Algebraic Geometry | |
| dc.subject | Complex Variables | |
| dc.subject | 14R20; 32M05 | |
| dc.title | Algebraic density property of homogeneous spaces | |
| dc.type | text |