Hyperbolic Planes
| dc.creator | Hunt, Bruce | |
| dc.date | 1995-04-03 | |
| dc.date.accessioned | 2026-07-07T09:06:26Z | |
| dc.date.available | 2026-07-07T09:06:26Z | |
| dc.description | In this paper we consider a special class of arithmetic quotients of bounded symmetric domains which can roughly be described as higher- dimensional analogues of the Hilbert modular varities. The algebraic groups are defined as the unitary groups over two-dimensional right vector spaces over a division algebra with involution. If $d$ denotes the degree of the division algebra, then $d=1$ is essentially just case giving rise to Hilbert modular varieties. We determine the class number (number of cusps) of the arithmetic quotients, and find inter- esting modular subvarities whos existence derives from the algebraic structure of the division algebras. Also the moduli interpretation, given by Shimuras theory, is described. | |
| dc.description | 29 pages (11 pt), dvi file available from the author by request to hunt@mathematik.uni-kl.de , LaTeX v 2.09 | |
| dc.identifier | https://arxiv.org/abs/alg-geom/9504001 | |
| dc.identifier | http://arxiv.org/abs/alg-geom/9504001 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/150005 | |
| dc.subject | Algebraic Geometry | |
| dc.subject | 14J30 | |
| dc.title | Hyperbolic Planes | |
| dc.type | text |