Canadian Mathematical Bulletin · 2009 · 16 citations · 8 references
Natural SciencesMathematicsGeometryAlgebraic GeometryAnalytic GeometryComplex GeometryCoordinate GeometryHyperbolic GeometryProjective GeometryHyperbolic Coordinates
Abstract Falbel has shown that four pairwise distinct points on the boundary of a complex hyperbolic 2-space are completely determined, up to conjugation in PU(2, 1), by three complex cross-ratios satisfying two real equations. We give global geometrical coordinates on the resulting variety.
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Ara Basmajian · Bulletin of the London Mathematical Society · 2001 · 214 citations
Complex hyperbolic Fenchel–Nielsen coordinates
John R. Parker, Ioannis D. Platis · Topology · 2007 · 53 citations · Full text
Complex length coordinates for quasi‐fuchsian groups
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