On embeddings of homogeneous spaces with small boundary
| dc.creator | Arzhantsev, Ivan V. | |
| dc.creator | Hausen, Juergen | |
| dc.date | 2005-07-27 | |
| dc.date | 2005-10-20 | |
| dc.date.accessioned | 2026-07-07T06:42:41Z | |
| dc.date.available | 2026-07-07T06:42:41Z | |
| dc.description | We study equivariant embeddings with small boundary of a given homogeneous space $G/H$, where $G$ is a connected, linear algebraic group with trivial Picard group and only trivial characters, and $H \subset G$ is an extension of a connected Grosshans subgroup by a torus. Under certain maximality conditions, like completeness, we obtain finiteness of the number of isomorphism classes of such embeddings, and we provide a combinatorial description the embbeddings and their morphisms. The latter allows a systematic treatment of examples and basic statements on the geometry of the equivariant embeddings of a given homogeneous space $G/H$. | |
| dc.description | minor changes, 30 pages, to appear in J. Algebra | |
| dc.identifier | https://arxiv.org/abs/math/0507557 | |
| dc.identifier | http://arxiv.org/abs/math/0507557 | |
| dc.identifier | J. Algebra, Vol. 304, No. 2, 950-988 (2006) | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/102135 | |
| dc.subject | Algebraic Geometry | |
| dc.subject | 14L24, 14M17, 14M25 | |
| dc.title | On embeddings of homogeneous spaces with small boundary | |
| dc.type | text |