Symmetric subgroups of rational groups of hermitian type
| dc.creator | Hunt, Bruce | |
| dc.date | 1995-05-29 | |
| dc.date.accessioned | 2026-07-07T09:06:32Z | |
| dc.date.available | 2026-07-07T09:06:32Z | |
| dc.description | A rational group of hermitian type is an algebraic group over the rational numbers whose symmetric space is a hermitian symmetric space. We assume such a group $G$ to be given, which we assume is isotropic. Then, for any rational parabolic $P$ in the group $G$, we find a reductive rational subgroup $N$ closely related with $P$ by a relation we call incidence. This has implications to the geometry of arithmetic quotients of the symmetric space by arithmetic subgroups of $G$, in the sense that $N$ defines a subvariety on such an arithmetic quotient which has special behaviour at the cusp corresponding to the parabolic with which $N$ is incident. | |
| dc.description | 29 pages (11 pt), ps-file also available at the home page http://www.mathematik.uni-kl.de/~wwwagag, preprints. LaTeX v2.09 | |
| dc.identifier | https://arxiv.org/abs/alg-geom/9505033 | |
| dc.identifier | http://arxiv.org/abs/alg-geom/9505033 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/150041 | |
| dc.subject | Algebraic Geometry | |
| dc.subject | 14L35 | |
| dc.title | Symmetric subgroups of rational groups of hermitian type | |
| dc.type | text |