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Search: MSC category 32M05 ( Complex Lie groups, automorphism groups acting on complex spaces [See also 22E10] )

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1. CMB 2009 (vol 52 pp. 285)

Parker, John R.; Platis, Ioannis D.
Global Geometrical Coordinates on Falbel's Cross-Ratio Variety
Falbel has shown that four pairwise distinct points on the boundary of a complex hyperbolic $2$-space are completely determined, up to conjugation in ${\rm PU}(2,1)$, by three complex cross-ratios satisfying two real equations. We give global geometrical coordinates on the resulting variety.

Categories:32G05, 32M05

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