On the moduli space of quadruples of points in the boundary of complex hyperbolic space
| dc.creator | Cunha, Heleno | |
| dc.creator | Gusevskii, Nikolay | |
| dc.date | 2008-12-11 | |
| dc.date | 2009-03-03 | |
| dc.date.accessioned | 2026-07-07T12:47:51Z | |
| dc.date.available | 2026-07-07T12:47:51Z | |
| dc.description | We consider the space $\mathcal M$ of ordered quadruples of distinct points in the boundary of complex hyperbolic $n$-space, $\ch{n},$ up to its holomorphic isometry group ${\rm PU}(n,1).$ One of the important problems in complex hyperbolic geometry is to construct and describe a moduli space for $\mathcal M$. For $n=2$, this problem was considered by Falbel, Parker, and Platis. The main purpose of this paper is to construct a moduli space for $\mathcal M $ for any dimension $n \geq 1$. The major innovation in our paper is the use of the Gram matrix instead of a standard position of points. | |
| dc.description | 21 pages, some references have been added | |
| dc.identifier | https://arxiv.org/abs/0812.2159 | |
| dc.identifier | http://arxiv.org/abs/0812.2159 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/221858 | |
| dc.subject | Geometric Topology | |
| dc.subject | Differential Geometry | |
| dc.subject | 32H20; 20H10; 22E40; 57S30; 32G07; 32C16 | |
| dc.title | On the moduli space of quadruples of points in the boundary of complex hyperbolic space | |
| dc.type | text |