Geodesic
Global Geometrical Coordinates on Falbel's Cross-Ratio Variety
Canadian mathematical bulletin, Tome 52 (2009) no. 2, pp. 285-294

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DOI

Falbel has shown that four pairwise distinct points on the boundary of a complex hyperbolic 2-space are completely determined, up to conjugation in $\text{PU}\left( 2,\,1 \right)$ , by three complex cross-ratios satisfying two real equations. We give global geometrical coordinates on the resulting variety.
DOI : 10.4153/CMB-2009-031-3
Mots-clés : 32G05, 32M05 
Parker, John R.; Platis, Ioannis D. Global Geometrical Coordinates on Falbel's Cross-Ratio Variety. Canadian mathematical bulletin, Tome 52 (2009) no. 2, pp. 285-294. doi: 10.4153/CMB-2009-031-3
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     author = {Parker, John R. and Platis, Ioannis D.},
     title = {Global {Geometrical} {Coordinates} on {Falbel's} {Cross-Ratio} {Variety}},
     journal = {Canadian mathematical bulletin},
     pages = {285--294},
     year = {2009},
     volume = {52},
     number = {2},
     doi = {10.4153/CMB-2009-031-3},
     url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-2009-031-3/}
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