On the moduli space of quadruples of points in the boundary of complex hyperbolic space

Details On the moduli space of quadruples of points in the boundary of complex hyperbolic space On the moduli space of quadruples of points in the boundary of complex hyperbolic space

2008-12-11

arxiv.org/abs/0812.2159v4

Mathematics

Geometric Topology

21 pages, some references have been added

Scientific paper

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.

Affiliated with

Also associated with

No associations

Rating

On the moduli space of quadruples of points in the boundary of complex hyperbolic space does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with On the moduli space of quadruples of points in the boundary of complex hyperbolic space, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and On the moduli space of quadruples of points in the boundary of complex hyperbolic space will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-60884