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

Parker, John R.; Platis, Ioannis D.

Authors

Ioannis D. Platis



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.

Citation

Parker, J. R., & Platis, I. D. (2009). Global, geometrical coordinates on Falbel's cross-ratio variety. Canadian Mathematical Bulletin, 52(2), 285-294. https://doi.org/10.4153/cmb-2009-031-3

Journal Article Type Article
Publication Date May 1, 2009
Deposit Date Nov 6, 2009
Journal Canadian Mathematical Bulletin
Print ISSN 0008-4395
Publisher Cambridge University Press
Peer Reviewed Peer Reviewed
Volume 52
Issue 2
Pages 285-294
DOI https://doi.org/10.4153/cmb-2009-031-3
Publisher URL http://journals.cms.math.ca/cgi-bin/vault/view/parkerB8962

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