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Global, geometrical coordinates on Falbel's cross-ratio variety.

Parker, John R. and Platis, Ioannis D. (2009) 'Global, geometrical coordinates on Falbel's cross-ratio variety.', Canadian mathematical bulletin., 52 (2). pp. 285-294.


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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Date of first online publication:May 2009
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